{"id":26200,"date":"2021-09-09T23:49:35","date_gmt":"2021-09-09T18:19:35","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=26200"},"modified":"2021-09-09T23:49:39","modified_gmt":"2021-09-09T18:19:39","slug":"02-13q","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/02-13q\/","title":{"rendered":"\u0db4\u0dd4\u0d82\u0da0\u0dd2 \u0d85\u0db7\u0dd2\u0dba\u0ddd\u0d9c\u0dba\u0d9a\u0dca&#8230;"},"content":{"rendered":"\n<div class=\"wp-block-cover has-background-dim\" style=\"background-color:#fcb5b5\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-1024x567.jpg\" alt=\"\" class=\"wp-image-26185\" width=\"383\" height=\"212\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-1024x567.jpg 1024w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-300x166.jpg 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-768x425.jpg 768w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-150x83.jpg 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-696x385.jpg 696w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-1068x592.jpg 1068w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2-758x420.jpg 758w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-2.jpg 1408w\" sizes=\"(max-width: 383px) 100vw, 383px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color\" style=\"color:#5f1b1b;font-size:20px\"><strong>\u0dc3\u0dd8\u0da2\u0dd4\u0d9a\u0ddd\u0dab\u0dcf\u0dc3\u0dca\u200d\u0dbb\u0dba\u0dda \u0daf\u0dd2\u0d9c \u0d92\u0d9a\u0d9a 20\u0d9a\u0dca \u0daf \u0db4\u0dc5\u0dbd \u0d92\u0d9a\u0d9a 10 \u0d9a\u0dca \u0daf \u0db6\u0dc0 \u0dc3\u0dbd\u0d9a\u0dcf \u0dbb\u0dad\u0dd4 \u0db4\u0dcf\u0da7\u0dd2\u0db1\u0dca \u0d85\u0db3\u0dd4\u0dbb\u0dd4 \u0d9a\u0dbb \u0d87\u0dad\u0dd2 \u0d9a\u0ddc\u0da7\u0dc3\u0dda \u0db8\u0dd4\u0dbd\u0dd4 \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-cover has-white-background-color has-background-dim\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-1024x567.jpg\" alt=\"\" class=\"wp-image-27468\" width=\"367\" height=\"203\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-1024x567.jpg 1024w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-300x166.jpg 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-768x425.jpg 768w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-150x83.jpg 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-696x385.jpg 696w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-1068x592.jpg 1068w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4-758x420.jpg 758w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_02-4.jpg 1408w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\">\u0db8\u0dd4\u0dbd\u0dd2\u0db1\u0dca\u0db8 \u0db8\u0dd9\u0db8 \u0dbb\u0dad\u0dd4 \u0db4\u0dd0\u0dc4\u0dd0 \u0d9a\u0ddc\u0da7\u0dc3\u0dda \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba \u0dc3\u0ddc\u0dba\u0dcf \u0d9c\u0db1\u0dca\u0db1 \u0d85\u0dc0\u0dc1\u0dca\u200d\u0dba\u0dba\u0dd2.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_03-1024x565.jpg\" alt=\"\" class=\"wp-image-27469\" width=\"367\" height=\"206\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color\" style=\"font-size:20px\">\u0dbb\u0dad\u0dd4 \u0db4\u0dd0\u0dc4\u0dd0 \u0d9a\u0ddc\u0da7\u0dc3\u0dda \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba = &nbsp;\u0dad\u0dca\u200d\u0dbb\u0dd2\u200d\u0d9a\u0ddd\u0dab\u0dba\u0dda \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba &#8211; \u0db1\u0dd2\u0dbd\u0dca \u0db4\u0dd0\u0dc4\u0dd0 \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba<br>\u0dc3\u0db8\u0db8\u0dd2\u0dad\u0dd2\u0dba \u0d85\u0db1\u0dd4\u0dc0 \u0db6\u0dbd\u0db1 \u0dc0\u0dd2\u0da7 \u0db1\u0dd2\u0dbd\u0dca \u0db4\u0dd0\u0dc4\u0dd0 \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba \u0d91\u0d9a\u0dca \u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0d9a \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\u0da7 \u0dc3\u0db8\u0dcf\u0db1 \u0dc0\u0dda.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/08\/Para_img_04-1024x541.jpg\" alt=\"\" class=\"wp-image-27470\" width=\"367\" height=\"203\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-left has-black-color has-text-color\" style=\"font-size:20px\">\u0d91\u0dc0\u0dd2\u0da7,<br><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\u0dbb\u0dad\u0dd4\\;\u0db4\u0dd0\u0dc4\u0dd0\\;\u0d9a\u0ddc\u0da7\u0dc3\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;&amp;=&amp;\\;\u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;-\\;\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\\\&amp;=&amp;1\/2\\times \u0dbd\u0db8\u0dca\u0db7\u0d8b\u0dc3\\times \u0d86\u0db0\u0dcf\u0dbb\u0d9a\u0db4\u0dcf\u0daf\u0dba\u0dda\u0daf\u0dd2\u0d9c-\\pi r^2\\\\;&amp;=&amp;1\/2\\times20\\times10-\\;\\pi\\times5\\times5\\\\&amp;=&amp;100-25\\pi\\\\&amp;\\approx&amp;21.460\\end{array}<\/span><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\">\u0daf\u0dd0\u0db1\u0dca a \u0d9a\u0ddc\u0da7\u0dc3\u0dd9\u0dc4\u0dd2 \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba \u0d9c\u0dab\u0db1\u0dba \u0d9a\u0dbb\u0db8\u0dd4.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_05.jpg\" alt=\"\" class=\"wp-image-28854\" width=\"250\" height=\"203\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\"><span class=\"wp-katex-eq\" data-display=\"false\">a\\;\u0d9a\u0ddc\u0da7\u0dc3\u0dd9\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;=\\;\u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;-\\;b\\;\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;\\;-\\;c\\;\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba<\/span><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_06-1.jpg\" alt=\"\" class=\"wp-image-28861\" width=\"250\" height=\"203\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}b\\;\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;&amp;=&amp;\\;\u0dc3\u0db8\u0da0\u0dad\u0dd4\u0dbb\u0dc3\u0dca\u200d\u0dbb\u0dd9\u0dba\u0dca\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;-\\;\u0d9a\u0ddc\u0dc5\\;\u0db4\u0dd0\u0dc4\u0dd0\\;\u0dc0\u0dd8\u0dad\u0dca\u0dad\\;\u0d9b\u0dab\u0dca\u0da9\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\\\&amp;=&amp;5\\times5-1\/4\\times\\pi\\times5\\times5\\\\&amp;=&amp;25(1-\\pi\/4)\\end{array}<\/span><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_07.jpg\" alt=\"\" class=\"wp-image-28865\" width=\"250\" height=\"203\" \/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-center has-black-color has-text-color\" style=\"font-size:20px\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\theta&amp;=&amp;\\tan^{-1}(\\frac5{10})=\\tan^{-1}(\\frac12)\\end{array}<\/span><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}c\\;\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;&amp;=&amp;\\;\u0dc0\u0dd8\u0dad\u0dca\u0dad\\;\u0d9b\u0dab\u0dca\u0da9\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;-\\;\u0d9a\u0dc4\\;\u0db4\u0dd0\u0dc4\u0dd0\\;\u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0dbd\u0dba\\\\&amp;=&amp;\\frac{\\pi-2\\theta}{2\\pi}\\times\\pi\\times5^2-\\frac12\\times5\\;\\sin\\theta\\times(2\\times5\\;\\cos\\theta)\\\\&amp;=&amp;\\;{\\frac{\\pi-2\\tan^{-1}({\\displaystyle\\frac12})}{2\\pi}\\times5^2-\\frac12\\times5^2\\times2\\;\\sin\\theta\\;\\cos\\theta}\\\\&amp;=&amp;\\;\\frac{25\\pi}2-25\\tan^{-1}(\\frac12)-25\\;\\sin\\theta\\;\\cos\\theta\\\\&amp;=&amp;\\frac{25\\pi}2-25\\tan^{-1}(\\frac12)-10\\end{array}<\/span><br><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\">\u0daf\u0dd0\u0db1\u0dca,<br><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}a\\;\u0d9a\u0ddc\u0da7\u0dc3\u0dd9\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;&amp;=&amp;\\;\u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;-\\;b\\;\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;\\;-\\;c\\;\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\\\&amp;=&amp;\\frac12\\times10\\times5-25(1-\\frac\\pi4)-{\\frac{25\\pi}2-25\\tan^{-1}(\\frac12)-10}\\\\&amp;=&amp;{25-25+\\frac{25\\pi}4-\\frac{25\\pi}2+25\\tan^{-1}(\\frac12)+10}\\\\&amp;=&amp;10+25\\tan^{-1}(\\frac12)-\\frac{25\\pi}4\\end{array}<\/span><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-1024x567.jpg\" alt=\"\" class=\"wp-image-28873\" width=\"367\" height=\"203\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-1024x567.jpg 1024w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-300x166.jpg 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-768x425.jpg 768w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-150x83.jpg 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-696x385.jpg 696w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-1068x592.jpg 1068w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02-758x420.jpg 758w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/Para_img_02.jpg 1408w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/><\/figure><\/div>\n\n\n\n<p style=\"font-size:20px\"><span style=\"color:#000000\" class=\"tadv-color\">\u0daf\u0dd0\u0db1\u0dca \u0dbb\u0dad\u0dd4 \u0db4\u0dd0\u0dc4\u0dd0 \u0d9a\u0ddc\u0da7\u0dc3\u0dda \u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba \u0d9c\u0dab\u0db1\u0dba \u0d9a\u0dbb\u0db8\u0dd4.<\/span><\/p>\n\n\n\n<p class=\"has-black-color has-text-color\" style=\"font-size:20px\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;&amp;=&amp;\\;(\u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;-\\;\u0dc0\u0dd8\u0dad\u0dca\u0dad\u0dba\u0dda\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\;)-\\;a\\;\u0d9a\u0ddc\u0da7\u0dc3\u0dd9\u0dc4\u0dd2\\;\u0dc0\u0dbb\u0dca\u0d9c\u0db5\u0dbd\u0dba\\\\&amp;=&amp;100-25\\pi-\\lbrack10+25\\tan^{-1}(\\frac12)-\\frac{25\\pi}4\\rbrack\\\\&amp;=&amp;90-\\frac{75\\pi}4-25\\tan^{-1}(\\frac12)\\\\;&amp;\\approx&amp;19.504\\end{array}<\/span><br><\/p>\n<\/div><\/div>\n\n\n\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp;<\/p>\n","protected":false},"author":73,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[6067,42,3629],"tags":[],"class_list":{"0":"post-26200","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-infinite-thinking","7":"category-advanced-level-science","8":"category-combined-mathematics"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/26200"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/73"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=26200"}],"version-history":[{"count":24,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/26200\/revisions"}],"predecessor-version":[{"id":29182,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/26200\/revisions\/29182"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=26200"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=26200"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=26200"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}