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In a circle, a sector of radius (r) subtends an arc of (\frac{5\pi r}{6}). What is its central angle in degrees?किसी वृत्त में (r) त्रिज्या वाला सेक्टर (\frac{5\pi r}{6}) चाप बनाता है। उसका केंद्र कोण डिग्री में क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (150^\circ)(150^\circ)
From (s=r\theta), (\theta=\frac{\frac{5\pi r}{6}}{r}=\frac{5\pi}{6}), which is (150^\circ). In exams, cancel (r) to find the angle.(s=r\theta) से (\theta=\frac{\frac{5\pi r}{6}}{r}=\frac{5\pi}{6}), जो (150^\circ) है। परीक्षा में (r) को काटकर कोण निकालें।
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