Kompas.com - 06/03/2023, 12:00 WIB
Lihat Foto
Ilustrasi bangun datar yang memiliki simetri lipat(KOMPAS.com/Vanya Karunia Mulia Putri)
Cari soal sekolah lainnya
Penulis Retia Kartika Dewi
|
Editor Serafica Gischa
KOMPAS.com - Dalam matematika, ada bermacam-macam bentuk bangun datar, misalnya segitiga, segiempat, hingga lingkaran.
Masing-masing bangun datar memiliki cara penghitungan luas dan keliling yang berbeda-beda.
Berikut daftar lengkap rumus luas dan rumus keliling bangun ruang segitiga, segiempat, dan lingkaran:
Baca juga: Soal dan Jawaban Luas Bangun Datar
Segitiga
Segitiga merupakan salah satu bangun datar yang memiliki 3 buah sisi. Segitiga juga
memiliki sudut total sebesar 180°.
- Luas segitiga = ½ x alas x tinggi
- Keliling segitiga = a + b + c atau jumlah keseluruhan sisinya
Persegi
Persegi adalah bangun datar yang memiliki empat sisi dengan panjang semua sisinya adalah sama.
- Luas persegi = sisi x sisi
- Keliling persegi = 4 x sisi
Baca juga: Cara Mencari Panjang dan Lebar pada Persegi Panjang
Persegi panjang
Persegi panjang adalah bangun datar dua dimensi yang disusun dari empat buah sisi, yaitu dua buah sisi panjang dan dua buah sisi lebar.
- Luas persegi panjang = panjang x lebar
- Keliling persegi panjang = (2 x panjang) + (2 x lebar)
Belah ketupat
Belah ketupat adalah sebuah bangun datar dua dimensi, memiliki empat sisi sama panjang dengan sudut yang berhadapan sama besar (bukan sudut siku-siku).
- Luas belah ketupat = ½ x diagonal 1 x diagonal 2
- Keliling belah ketupat = a + b + c + d atau jumlah seluruh sisinya
Jajar genjang
Jajar genjang adalah bangun datar dua dimensi yang dibentuk oleh dua pasang rusuk yang masing-masing sama panjang dan sejajar dengan pasangannya, dan memiliki dua pasang sudut yang masing-masing sama besar dengan sudut di hadapannya.
- Luas jajar genjang = alas x tinggi
- Keliling jajar genjang = a + b + c + d atau jumlah seluruh sisinya
Layang-layang
Layang-layang adalahbangun datar yang memiliki beberapa kesamaan sifat yaitu masing-masing memiliki empat ruas garis dan empat titik sudut.
- Luas layang-layang = ½ x diagonal 1 x diagonal 2
- Keliling layang-layang = a + b + c + d atau jumlah seluruh sisinya
Baca juga: Pembuktian Rumus Layang-layang dengan Persegi Panjang
Trapesium
Trapesium adalahbangun datar dua dimensi yang dibentuk oleh empat buah rusuk yang dua di antaranya saling sejajar namun tidak sama panjang.
- Luas trapesium = ½ x jumlah sisi sejajar x tinggi
- Keliling trapesium = a + b + c + d atau jumlah seluruh sisinya
Lingkaran
Lingkaran adalah bangun datar berbentuk buat yang memiliki diameter, dan total sudutnya 360°.
- Luas lingkaran = πr²
- Keliling lingkaran = 2πr
Itulah rumus-rumus luas dan keliling bangun datar segitiga, segiempat, dan lingkaran.
Baca juga: Soal dan Jawaban Diameter dan Keliling Lingkaran
Dapatkan update berita pilihan dan breaking news setiap hari dari Kompas.com. Mari bergabung di Grup Telegram "Kompas.com News Update", caranya klik link https://t.me/kompascomupdate, kemudian join. Anda harus install aplikasi Telegram terlebih dulu di ponsel.
Baca tentang
- Serba-Serbi Persegi Panjang dalam Matematika
Tag
- rumus luas jajar genjang
- rumus bangun datar lengkap
- rumus luas trapesium
- rumus keliling belah ketupat
- rumus keliling lingkaran
- rumus keliling layang-layang
- materi matematika kelas 5
- Rumus Keliling Persegi Panjang
- Rumus Keliling Jajar Genjang
- Rumus Luas Belah Ketupat
- Rumus Luas Layang-Layang
- Rumus Luas Segienam
Video rekomendasi
Video lainnya
Pilihan Untukmu
`); var wSpecStop = createElementFromHTML(`
Konten disembunyikan.
Muat ulang halaman untuk perbarui rekomendasi.
`); reactionPopup.querySelector('.buttonShare').setAttribute('data-title', item.title); reactionPopup.querySelector('.buttonShare').setAttribute('data-url', item.url); reactionPopup.querySelector('.buttonShare').setAttribute('data-campaign', 'AIML_Widget_Desktop'); let userFeedback = new UserFeedback(resultObj.engine['tracker_algsrc'], item.url + tracker_params, jxRecHelper, index); reactionPopup.querySelector('.buttonBookmark').addEventListener('click', function() { do_bookmark(item.url, index, userFeedback); }); reactionPopup.querySelector('.buttonShare').addEventListener('click', function() { userFeedback.event('share'); }); reactionPopup.querySelector('.buttonNotInterest').addEventListener('click', function() { if (getCookie('kmps_usrid')) { hideThisArt(this); userFeedback.event('not-interested'); } else { const parentAction = this.parentElement.parentElement.parentElement if (!!parentAction) { let indexElement = parentAction.getAttribute('data-index') if (indexElement != 'undefined') { localStorage.setItem('reaction_not_interest_temp', JSON.stringify({ urlpage: items[indexElement].url })) } } window.location.href = "https://account.kompas.com/login/a29tcGFz/" + btoa(window.location.href); } }); /** * trigger action "userFeedback" that user not interest item before, when not interest without login */ if (getCookie('kmps_usrid') && localStorage.getItem('reaction_not_interest_temp')) { const tempUrlNotInterest = JSON.parse(localStorage.getItem('reaction_not_interest_temp')) if (item.url == tempUrlNotInterest.urlpage) { userFeedback.event('not-interested'); localStorage.removeItem('reaction_not_interest_temp'); } } wSpecStop.querySelector('.wSpec-stop-undo').addEventListener('click', function() { showThisArt(this); userFeedback.event('un-not-interested'); }); recItem.appendChild(buttonOption); recItem.appendChild(reactionPopup); recItem.appendChild(wSpecStop); } var recItemWrapperA = createElement('a', null, null, null); recItemWrapperA.setAttribute('href', item.url + tracker_params); var titleDiv = createElement('h4', null, null, [cssClasses.title], item.title); var sourceDiv = null; if (item.hasOwnProperty('method')) { sourceDiv = createElement('div', null, null, [cssClasses.source], resultObj.engine['type'] + ' . ' + item.method.toUpperCase()); } else { var sourceDiv = createElement('div', null, null, [cssClasses.source], resultObj.engine['type']); } var textWrapper = createElement('div', null, null, [cssClasses.text_wrapper]); textWrapper.appendChild(categoryDiv); textWrapper.appendChild(titleDiv); textWrapper.appendChild(sourceDiv); recItemWrapper.appendChild(imgWrapper); recItemWrapper.appendChild(textWrapper); recItemWrapperA.appendChild(recItemWrapper); recItem.appendChild(recItemWrapperA); widgetWrapper.appendChild(recItem); // hook up the click handler for this item // recItem.onclick = handleClick.bind(null, jxRecHelper, item.url + tracker_params, index); recItemWrapperA.onclick = handleClick.bind(null, jxRecHelper, item.url + tracker_params, index); }); } var endDate = new Date(); var loadtime = (endDate.getTime() - startDate.getTime()); trackEventGa('AIML Article Recommendation', 'Content Loaded', 'algsrc='+algsrc+',site=SKOLA,device=desktop,loadtime=' + loadtime) let domain = window.location.hostname; if(domain=='www.kompas.com'){ var url=window.location.href.split("/"); domain=url[2]+'/'+url[3] } let user_subs_type = "Gues"; let subs_type = ""; let is_lgn = 0; let engine = algsrc; if(getCookie('kmps_usrid')){is_lgn=1}; let time_load = loadtime; trackMixpanel(domain, user_subs_type, subs_type, is_lgn, 'success', time_load, engine); resolve(); /*** * JXRECSDK NOTES 3 of 5 - * pass all the info about the items to the rec helper * each one is an object: ALL MANDATORY * div * id * pos */ jxRecHelper.items(widgetItemArr); /*** * JXRECSDK NOTES 4 of 5 - * Call the ready() of the helper object when the recommendation * results have been populated to the widget * (This will register the action=ready event) */ if (resultObj.engine['type'] == 'api-1') { jxRecHelper.ready(resultObj.options.algo + ":" + resultObj.options.version); } else { jxRecHelper.ready(resultObj.engine['type']); } } else { jxRecHelper.error(204); console.error("Error: no recommendation items"); return; } } catch (err) { jxRecHelper.error(901); console.log(err.stack); let domain = window.location.hostname; if(domain=='www.kompas.com'){ var url=window.location.href.split("/"); domain=url[2]+'/'+url[3] } let user_subs_type = "Gues"; let subs_type = "" let is_lgn = 0; let engine = algsrc; if(getCookie('kmps_usrid')){is_lgn=1}; let endDate = new Date(); let time_load = (endDate.getTime() - startDate.getTime()); trackMixpanel(domain, user_subs_type, subs_type, is_lgn, 'fail', time_load, engine); } }); } const _jxRecSdkURL = 'https://scripts.jixie.media/jxrecsdk.1.0.min.js'; var startDate = new Date(); class OneWidget { constructor() { //this is also the one we will pass to the JX rec helper object when //we instantiate it: //In this implementation most of these come from the options obj //on the publisher page. this._options = { accountid: '9262bf2590d558736cac4fff7978fcb1', pageurl: 'https://www.kompas.com/skola/read/2023/03/06/120000769/rumus-luas-serta-keliling-segitiga-persegi-persegi-panjang-jajar-genjang', widget_id: '1000183-6xWeiWZFIM', type: 'pages', container: 'rekomendasi-konten-pilihan-untukmu-aiml', keywords: content_tags, title: title, customid: "69", count: 14, }; this._containerId = this._options.container; this._container = document.getElementById(this._containerId); this._engines = [{"url":"https:\/\/recommendation.jixie.media\/v1\/recommendation","method":"GET","pageurl":"https:\/\/www.kompas.com\/skola\/read\/2023\/03\/06\/120000769\/rumus-luas-serta-keliling-segitiga-persegi-persegi-panjang-jajar-genjang","system":"jx","type":"api-1","tracker_params":"?source=widgetML","tracker_algsrc":"V","count":14,"page_status":"read","excludeitemids":"20230306120000769"}]; } kickOff() { startDate = new Date(); const rand = Math.floor(Math.random() * 1000); /*const randSystem = Math.floor(Math.random() * 3); this._engine = this._engines[randSystem] if (location.hostname.indexOf('lestari') != -1) { this._engine = this._engines[1] }*/ this._engine = this._engines[0]; this._options.system = this._engine['system'] trackEventGa('AIML Article Recommendation', 'Widget load', 'algsrc=' + this._engine['tracker_algsrc'] + ',site=SKOLA,device=desktop') let promJXSDK = fetchJSFileP(_jxRecSdkURL); let thisObj = this; // first we wait on the JX REC SDK to be loaded and initialized let recHelperObj = null; let recResults = null; promJXSDK .then(function() { /*** * JXRECSDK NOTES 1 of 5 - INSTANTIATION OF A JX REC HELPER OBJECT * Call this AFTER JX REC SDK is loaded but BEFORE you call your REC * backend. * * param: MANDATORY options object * options object must at a minimal have * accountid: get from jixie * widgetid: get from jixie * container: DIV ID of the destination div to house the widget * (for jixie widget this is just the options object passed from the page) * * (This will also register the action=load event) */ recHelperObj = jxRecMgr.createJxRecHelper(thisObj._options); let basicInfo = thisObj._options; basicInfo.engine = thisObj._engine if (basicInfo.engine.type == 'api-1') { var options = { count: basicInfo['count'], adpositions: "", keywords: basicInfo['keywords'], title: basicInfo['title'], date_published: "2023-03-06", pagecategory: "SKOLA", algo: "mixed" }; if(getCookie('kmps_usrid')){ var kg = { pagetype:basicInfo.engine.page_status, uid:getCookie('kmps_usrid'), ukid:getCookie('kmp_uid') } if(basicInfo.engine.page_status=='read'){ kg['excludeitemids'] = basicInfo.engine.excludeitemids; } options['additional'] = { kg:kg }; } return recHelperObj.getJxRecommendations(options); } else { return fetchRecommendationsP(basicInfo, recHelperObj.getJxUserInfo()); } }) .then(function(resp) { if (thisObj._engine.type == 'api-3') { recResults = new Object recResults.items = resp.docs.result; } else { recResults = resp; } recResults.engine = thisObj._engine; if (!resp || !recResults.items || recResults.items.length == 0) { /*** * JXRECSDK NOTES 2 of 5 - * Call the error() function on the recHelper when either an error * has occured in the fetching or there are no recommended items * * (This will register the action=error event) */ recHelperObj.error(204); throw "no recommendation results"; } }) .then(function() { // everything is ready (recommendation results, css): document.getElementById("rekomendasi-konten-pilihan-untukmu-aiml").classList.remove("-loading"); document.querySelector('.wSpec-list').remove(); createDisplay(rand, thisObj._container, recResults, recHelperObj) .then(function() { toggleDropdown(); //observe lozad // lozad('.lozad', { // load: function(el) { // el.src = el.dataset.src; // el.onload = function() { // el.classList.add('fade') // } // } // }).observe() }) }) .catch(function(error) { console.log(`Unable to create recommendations widget ${error.stack} ${error.message}`); }); } } var limit_gtm_ready = 1; function check_gtm_ready() { if ('ga' in window) { // create a new instance of our widget based on the options const newW = new OneWidget(); newW.kickOff(); } else { const timeout_gtm_ready = setTimeout(check_gtm_ready, 500) limit_gtm_ready += 1; if (limit_gtm_ready > 10) { clearTimeout(timeout_gtm_ready); const newW = new OneWidget(); newW.kickOff(); } } } check_gtm_ready() document.querySelector('.wSpec-secret').addEventListener('click', function(e) { e.preventDefault(); let wSl = document.querySelectorAll('.wSpec-source'); if (wSl.length > 0) { for (let i = 0; i < wSl.length; i++) { wSl[i].classList.toggle('show') } } }) function trackEventGa(category, action, label) { if ("ga" in window) { ga(function() { tracker = ga.getAll()[0]; if (tracker) { tracker.send("event", category, action, label); console.log('track event ', category, action, label) } }) } } function trackMixpanel(domain, user_subs_type, subs_type, is_lgn, is_load, time_load, engine){ // if(domain.indexOf("katanetizen") != -1){ // console.log("sini", domain, user_subs_type, subs_type, is_lgn, is_load, time_load, engine); // mixpanel.track('AIML Widget Loaded', { // 'Page Type': 'Read', // 'Page Domain': domain, // 'Page Subscription Type': subs_type, // 'Login Status': is_lgn, // 'Load Status': is_load, // 'Load Time': time_load, // 'Engine': engine, // 'Widget Type': 'Article', // }); mixpanel.track('aiml_content_loaded', { 'Page Type': '', 'Page Domain': 'Kompas.com', 'User Type': user_subs_type, 'Page Subscription Type': subs_type, 'Log In Status': is_lgn, 'Load Status': is_load, 'Load Time': time_load, 'Engine': engine, 'Widget Type': 'Article', }); console.log('track mix panel', 'AIML Widget Loaded', 'Read') let kmp_nm = getCookie('kmp_nm'); if(kmp_nm){ distinct_id = mixpanel.get_distinct_id(); mixpanel.identify(distinct_id); mixpanel.people.set({ '$name': atob(kmp_nm), 'Subscription Type': subs_type, }); console.log('track mix panel people', 'AIML Widget Loaded', 'Read') } // } } function formBody(obj) { let formBody = []; for (var property in obj) { let encodedKey = encodeURIComponent(property); let encodedValue = encodeURIComponent(obj[property]); formBody.push(encodedKey + "=" + encodedValue); } return formBody.join("&"); } function getCookie(name) { var name = name + '='; var cookies = decodeURIComponent(document.cookie).split(';'); for (var i = 0; i < cookies.length; i++) { var c = cookies[i]; while (c.charAt(0) == ' ') { c = c.substring(1); } if (c.indexOf(name) == 0) { return c.substring(name.length, c.length); } } } function get_guid(url) { let arrayUrl = url.split('/'); let readPath = arrayUrl.indexOf('read'); if (arrayUrl[readPath + 1] == 'xml') { readPath += 1; } let year = arrayUrl[readPath + 1]; let month = arrayUrl[readPath + 2]; let date = arrayUrl[readPath + 3]; let id = arrayUrl[readPath + 4]; let guid = `.xml.${year}.${month}.${date}.${id}`; return guid; } function toggleDropdown() { let tdd = document.querySelectorAll('[data-dropdown]') if (!!tdd) { tdd.forEach((el) => { el.addEventListener('click', function() { el.parentElement.classList.toggle('-active') let saved = el.parentElement.getAttribute('data-saved') let kmps_usrid = getCookie('kmps_usrid'); if (kmps_usrid && !saved && el.parentElement.classList.contains('-active')) { let url = el.parentElement.getAttribute('data-url'); let guid = get_guid(url); check_bookmark( kmps_usrid, guid ).then(function(resp) { if (resp.hasOwnProperty('total_data')) { if (resp.total_data > 0) { el.parentElement.querySelector('.buttonBookmark').classList.add('-active'); el.parentElement.querySelector('.buttonBookmark').innerHTML = 'Hapus dari tersimpan'; el.parentElement.setAttribute('data-saved', 'true'); } else { el.parentElement.setAttribute('data-saved', 'false'); } } }) } }) document.addEventListener("click", function(e) { // console.log(e.target) if (el.contains(e.target)) { // console.log(tdd) } else { el.parentElement.classList.remove('-active') } }); }); } } function check_bookmark(kmps_usrid, guid) { let url = `https://api.kompas.com/2021/reaction/bookmark/list?kmps_usrid=${kmps_usrid}&guid=${guid}`; return new Promise(function(resolve, reject) { var xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function() { if (this.readyState == 4 && this.status == 200) { resolve(JSON.parse(this.responseText)) } }; xmlhttp.open("GET", url, true); xmlhttp.send(); }); } function do_bookmark(pageurl, pos, userFeedback) { const wSpecItem = document.querySelector(`.wSpec-item[data-index="${pos}"]`); const btnBookmark = wSpecItem.querySelector('.buttonBookmark'); const kmps_usrid = getCookie('kmps_usrid'); const guid = get_guid(pageurl); if (kmps_usrid) { if (btnBookmark.classList.contains('-active')) { set_unbookmark({ guid: guid, kmps_usrid: kmps_usrid, type: 'article' }).then(function(resp) { btnBookmark.classList.remove('-active'); btnBookmark.innerHTML = 'Simpan artikel'; reactionToast('Artikel berhasil dihapus dari list yang disimpan'); userFeedback.event('un-save'); }).catch(function(resp) { // message: "Data doesn't exists" if (resp.hasOwnProperty('message') && resp.message.includes('exist')) { btnBookmark.classList.remove('-active'); btnBookmark.innerHTML = 'Simpan artikel'; reactionToast('Artikel berhasil dihapus dari list yang disimpan'); } }) } else { const user_bookmark_url = "https://activity.kompas.com/saved?order=desc"; set_bookmark({ guid: guid, kmps_usrid: kmps_usrid, type: 'article', publisher: 'kompas', platform: 'desktop' }).then(function(resp) { btnBookmark.classList.add('-active'); btnBookmark.innerHTML = 'Hapus dari tersimpan'; reactionToast('Artikel berhasil disimpan', user_bookmark_url); userFeedback.event('save'); }).catch(function(resp) { // message: "Data already exist" if (resp.hasOwnProperty('message') && resp.message.includes('exist')) { btnBookmark.classList.add('-active'); btnBookmark.innerHTML = 'Hapus dari tersimpan'; reactionToast('Artikel berhasil disimpan', user_bookmark_url); } }) } } else { const login_url = "https://account.kompas.com/login/a29tcGFz/" + btoa(window.location.href); window.location.href = login_url; } } function set_bookmark(data) { const url = "https://api.kompas.com/2021/reaction/bookmark/add"; return new Promise(function(resolve, reject) { const xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function() { if (this.readyState == 4 && this.status == 201) { resolve(JSON.parse(this.responseText)); } else if (this.readyState == 4 && this.status == 400) { reject(JSON.parse(this.responseText)); } }; xmlhttp.open("POST", url, true); xmlhttp.setRequestHeader("Content-Type", "application/x-www-form-urlencoded;charset=UTF-8"); xmlhttp.send(formBody(data)); }); } function set_unbookmark(data) { const url = "https://api.kompas.com/2021/reaction/bookmark/delete"; return new Promise(function(resolve, reject) { const xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function() { if (this.readyState == 4 && this.status == 200) { resolve(JSON.parse(this.responseText)); } else if (this.readyState == 4 && this.status == 400) { reject(JSON.parse(this.responseText)); } }; xmlhttp.open("POST", url, true); xmlhttp.setRequestHeader("Content-Type", "application/x-www-form-urlencoded;charset=UTF-8"); xmlhttp.send(formBody(data)); }); } class UserFeedback { constructor(engine, pageurl, jxRecHelper, pos) { this.engine = engine; this.pageurl = pageurl; this.jxRecHelper = jxRecHelper; this.pos = pos; } event(feedback) { if (this.engine == 'C') { const xmlhttp = new XMLHttpRequest(); let params = { domain: 'kompas.com', ce_userid: getCookie('kmps_usrid'), ce_sessionid: getCookie('ukid'), ce_pageurl: this.pageurl, engine: 'C', ce_feedback: feedback } xmlhttp.open("GET", 'https://apis.kgdata.dev/v1/aiml/feedback-widgetml' + formatParams(params)); xmlhttp.send(); } else if (this.engine == 'V') { if (feedback == 'share') { this.jxRecHelper.shared(this.pos); } else if (feedback == 'save') { this.jxRecHelper.bookmarked(this.pos); } else if (feedback == 'not-interested') { this.jxRecHelper.hidden(this.pos); } else if (feedback == 'un-not-interested') { this.jxRecHelper.unhidden(this.pos); } } } } function formatParams(params) { return "?" + Object .keys(params) .map(function(key) { return key + "=" + encodeURIComponent(params[key]) }) .join("&") }
- Games Permainan Kata Bahasa Indonesia
- TTS - Teka - Teki Santuy Eps 117 Makanan dari Kacang-Kacangan
- TTS - Teka - Teki Santuy Eps 116 Nama Makanan dari Serialia
- TTS - Teka - Teki Santuy Eps 115 Jenis-Jenis Fobia
Cari soal sekolah lainnya