{"id":556920,"date":"2023-05-12T23:57:44","date_gmt":"2023-05-12T18:27:44","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-sector-is-cut-from-a-circular-sheet-of-radius-100-cm-the-angle-of-the-sector-being-240-if-another-circle-of-the-area-same-as-the-sector-is-formed-the-radius-of-the-circle-of-the-new-radius\/"},"modified":"2025-06-26T12:41:54","modified_gmt":"2025-06-26T07:11:54","slug":"a-sector-is-cut-from-a-circular-sheet-of-radius-100-cm-the-angle-of-the-sector-being-240-if-another-circle-of-the-area-same-as-the-sector-is-formed-the-radius-of-the-circle-of-the-new-radius","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/a-sector-is-cut-from-a-circular-sheet-of-radius-100-cm-the\/","title":{"rendered":"A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240\u00b0. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240\u00b0. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is","custom_permalink":"question\/mathematics\/a-sector-is-cut-from-a-circular-sheet-of-radius-100-cm-the\/"},"categories":[],"acf":{"question":"<h1 style=\"margin-top:0pt; margin-bottom:8pt; text-align:justify; line-height:115%; font-size:13pt\"><span>A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240\u00b0. If another circle of the area same as the sector is formed, the radius of the circle of the new radius is<\/span><\/h1><br><h1style=\"margin-top:0pt;margin-bottom:8pt;text-align:justify;line-height:115%;font-size:13pt\"><spanstyle=\"font-family:'timesnewroman';font-weight:normal;-aw-import:ignore\"><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;text-align:justify;line-height:115%;font-size:13pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;text-align:justify;line-height:115%;font-size:13pt\"><\/spanstyle=\"font-family:'timesnewroman';font-weight:normal;-aw-import:ignore\"><\/h1style=\"margin-top:0pt;margin-bottom:8pt;text-align:justify;line-height:115%;font-size:13pt\">","options":[{"option":"79.5 cm<br>","correct":false},{"option":"81.3 cm<br>","correct":true},{"option":"83.4 cm<br>","correct":false},{"option":"88.5 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width=\"309\" height=\"41\" alt=\"\" class=\"image_resized\" style=\"width:309px;height:41px\"><span> <\/span><span>Let r be the radius of the new circle, then<\/span><br><img 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width=\"172\" height=\"76\" alt=\"\" class=\"image_resized\" style=\"width:172px;height:76px\"><span> <\/span><span>Therefore, the radius of the new circle is 81.3 cm.<\/span><br><span>So, option 2 is correct.<\/span><br><span>&nbsp;<\/span>","subject":"Mathematics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A sector is cut from a circular sheet of radius 100 cm, the angle of the sector being 240\u00b0. 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