यदि त्रिज्यखंड का क्षेत्रफल \(40\pi\) वर्ग सेमी और केंद्र कोण \(144^\circ\) है तो त्रिज्या क्या होगी?
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Correct Answer
C. (10) सेमी(10) cm
Concept
\(144^\circ=\frac{4\pi}{5}\) 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.
Why this answer is correct
The correct answer is C. (10) सेमी / (10) cm. \(144^\circ=\frac{4\pi}{5}\) 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.
Exam Tip
\(144^\circ=\frac{4\pi}{5}\) 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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