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If the sector area is (40\pi) square cm and the central angle is (144^\circ), what will be the radius?यदि त्रिज्यखंड का क्षेत्रफल (40\pi) वर्ग सेमी और केंद्र कोण (144^\circ) है तो त्रिज्या क्या होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (10) cm(10) सेमी
(144^\circ=\frac{4\pi}{5}) and (40\pi=\frac{1}{2}r^2\cdot\frac{4\pi}{5}) gives (r=10). Keep the angle in radians in the area formula.(144^\circ=\frac{4\pi}{5}) और (40\pi=\frac{1}{2}r^2\cdot\frac{4\pi}{5}) से (r=10) है। क्षेत्रफल सूत्र में कोण रेडियन में रखें।
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