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おうぎ形面積の超簡単な求め方

<p><img data-attachment-id&equals;"6477" data-permalink&equals;"https&colon;&sol;&sol;www&period;eskyjapan&period;com&sol;method&sol;ogi&lowbar;form&sol;attachment&sol;75108716352712a126f8df84d3c880a6&lowbar;s&sol;" data-orig-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;75108716352712a126f8df84d3c880a6&lowbar;s&period;jpg&quest;fit&equals;640&percnt;2C427&amp&semi;ssl&equals;1" data-orig-size&equals;"640&comma;427" data-comments-opened&equals;"0" data-image-meta&equals;"&lbrace;&quot&semi;aperture&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;credit&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;camera&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;caption&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;created&lowbar;timestamp&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;copyright&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;focal&lowbar;length&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;iso&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;shutter&lowbar;speed&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;title&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;orientation&quot&semi;&colon;&quot&semi;0&quot&semi;&rcub;" data-image-title&equals;"75108716352712a126f8df84d3c880a6&lowbar;s" data-image-description&equals;"" data-image-caption&equals;"" data-medium-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;75108716352712a126f8df84d3c880a6&lowbar;s&period;jpg&quest;fit&equals;300&percnt;2C200&amp&semi;ssl&equals;1" data-large-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;75108716352712a126f8df84d3c880a6&lowbar;s&period;jpg&quest;fit&equals;637&percnt;2C425&amp&semi;ssl&equals;1" class&equals;"aligncenter size-full wp-image-6477" src&equals;"https&colon;&sol;&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;75108716352712a126f8df84d3c880a6&lowbar;s&period;jpg" alt&equals;"おうぎ形面積の超簡単な求め方" width&equals;"640" height&equals;"427" &sol;><br &sol;>&NewLine;&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;99 -->&NewLine;<div class&equals;"quads-location quads-ad1" id&equals;"quads-ad1" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<&sol;p>&NewLine;<p>中学生ぐらいなら、きっと役に立ちますので1点でも多く得点してください。<br &sol;>&NewLine;基本は大切です。基本を知った上でこの方法を活用してみましょう。<br &sol;>&NewLine;おどろくほど簡単で大幅な時間短縮ができるので是非覚えておいてください。<&sol;p>&NewLine;<h3 class&equals;"style3b">おうぎ形の面積を求める問題<&sol;h3>&NewLine;<p><img data-attachment-id&equals;"6476" data-permalink&equals;"https&colon;&sol;&sol;www&period;eskyjapan&period;com&sol;method&sol;ogi&lowbar;form&sol;attachment&sol;ougi1&sol;" data-orig-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg&quest;fit&equals;640&percnt;2C420&amp&semi;ssl&equals;1" data-orig-size&equals;"640&comma;420" data-comments-opened&equals;"0" data-image-meta&equals;"&lbrace;&quot&semi;aperture&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;credit&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;camera&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;caption&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;created&lowbar;timestamp&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;copyright&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;focal&lowbar;length&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;iso&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;shutter&lowbar;speed&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;title&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;orientation&quot&semi;&colon;&quot&semi;0&quot&semi;&rcub;" data-image-title&equals;"ougi1" data-image-description&equals;"" data-image-caption&equals;"" data-medium-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg&quest;fit&equals;300&percnt;2C197&amp&semi;ssl&equals;1" data-large-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg&quest;fit&equals;640&percnt;2C420&amp&semi;ssl&equals;1" class&equals;"aligncenter size-full wp-image-6476" src&equals;"https&colon;&sol;&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg" alt&equals;"" width&equals;"640" height&equals;"420" &sol;><br &sol;>&NewLine;半径OAが10cm、弧ABが15cmのおうぎ形。<br &sol;>&NewLine;中心角 θ の角度は不明。<br &sol;>&NewLine;このおうぎ形の面積を求めなさい。<br &sol;>&NewLine;※ただし円周率は3&period;14とする。<&sol;p>&NewLine;<blockquote><p>おうぎ形の面積を求める公式<br &sol;>&NewLine;半径 × åŠå¾„ × å††å‘¨çŽ‡ × ä¸­å¿ƒè§’ &sol; 360°<&sol;p><&sol;blockquote>&NewLine;<h4 class&equals;"style4a">公式の解き方<&sol;h4>&NewLine;<p>中心角のθがわからないので、このままだと公式を使うことができません。<br &sol;>&NewLine;中心角のθを求めるために、おうぎ形の弧の長さを求める公式を作ります。<&sol;p>&NewLine;<blockquote><p>おうぎ形の弧の長さを求める公式<br &sol;>&NewLine;直径 × å††å‘¨çŽ‡ × ä¸­å¿ƒè§’ &sol; 360°<&sol;p><&sol;blockquote>&NewLine;<p>20cm × 3&period;14 × θ &sol; 360° &equals; 15cm<br &sol;>&NewLine;この方程式を解くと・・・<br &sol;>&NewLine;θ &equals; ( 15 × 360 &rpar; ÷ ( 20 × 3&period;14 )<br &sol;>&NewLine;θ &equals; 13500 &sol; 157<br &sol;>&NewLine;ちょっとややこしいですが、中心角の θ がわかりましたので、おうぎ形の面積を求める公式にあてはめます。<br &sol;>&NewLine;10cm × 10cm × 3&period;14 × ï¼ˆ13500° &sol; 157 ÷ 360°ï¼‰<br &sol;>&NewLine;&equals; 75cm2<br &sol;>&NewLine;いかがでしたでしょうか、途中はどうなることかと思いましたが、最後には綺麗な数字が出てきて助かりました。<br &sol;>&NewLine;でも正しい答えは出ましたが、かなり面倒だし時間もかかりすぎます。<br &sol;>&NewLine;これを、次は瞬時に解く方法を紹介します。<&sol;p>&NewLine;<h3 class&equals;"style3b">おうぎ形は三角形と同じ<&sol;h3>&NewLine;<p>おうぎ形と三角形は、同じだと考えて大丈夫。<&sol;p>&NewLine;<p>「はい?」って感じですが信じるものは救われます。<&sol;p>&NewLine;<blockquote><p>三角形の面積の求め方<br &sol;>&NewLine;底辺 × é«˜ã• ÷ 2<&sol;p><&sol;blockquote>&NewLine;<p><img data-attachment-id&equals;"6476" data-permalink&equals;"https&colon;&sol;&sol;www&period;eskyjapan&period;com&sol;method&sol;ogi&lowbar;form&sol;attachment&sol;ougi1&sol;" data-orig-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg&quest;fit&equals;640&percnt;2C420&amp&semi;ssl&equals;1" data-orig-size&equals;"640&comma;420" data-comments-opened&equals;"0" data-image-meta&equals;"&lbrace;&quot&semi;aperture&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;credit&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;camera&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;caption&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;created&lowbar;timestamp&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;copyright&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;focal&lowbar;length&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;iso&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;shutter&lowbar;speed&quot&semi;&colon;&quot&semi;0&quot&semi;&comma;&quot&semi;title&quot&semi;&colon;&quot&semi;&quot&semi;&comma;&quot&semi;orientation&quot&semi;&colon;&quot&semi;0&quot&semi;&rcub;" data-image-title&equals;"ougi1" data-image-description&equals;"" data-image-caption&equals;"" data-medium-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg&quest;fit&equals;300&percnt;2C197&amp&semi;ssl&equals;1" data-large-file&equals;"https&colon;&sol;&sol;i0&period;wp&period;com&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg&quest;fit&equals;640&percnt;2C420&amp&semi;ssl&equals;1" class&equals;"aligncenter size-full wp-image-6476" src&equals;"https&colon;&sol;&sol;www&period;eskyjapan&period;com&sol;wp-content&sol;uploads&sol;2018&sol;02&sol;ougi1&period;jpg" alt&equals;"" width&equals;"640" height&equals;"420" &sol;><br &sol;>&NewLine;今回の図を当てはめると・・・<br &sol;>&NewLine;底辺は弧の長さで、高さは半径だから・・・<br &sol;>&NewLine;15cm × 10cm ÷ 2<br &sol;>&NewLine;&equals; 75cm2<br &sol;>&NewLine;難しい計算しなくても、簡単に面積がでます。<&sol;p>&NewLine;<blockquote><p>おうぎ形の面積を求める公式<br &sol;>&NewLine;弧の長さ × åŠå¾„ ÷ 2<&sol;p><&sol;blockquote>&NewLine;<p>&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;99 -->&NewLine;<div class&equals;"quads-location quads-ad3" id&equals;"quads-ad3" style&equals;"float&colon;none&semi;margin&colon;0px&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<br &sol;>&NewLine;&NewLine;<&excl;-- WP QUADS Content Ad Plugin v&period; 2&period;0&period;99 -->&NewLine;<div class&equals;"quads-location quads-ad4" id&equals;"quads-ad4" style&equals;"float&colon;none&semi;margin&colon;0px 0 0px 0&semi;text-align&colon;center&semi;">&NewLine;&NewLine;<&sol;div>&NewLine;<&sol;p>&NewLine;&NewLine;

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