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In a circle, the central angle is 2π/3 radians and the arc length is 10π cm. What is the radius?एक वृत्त में केंद्र कोण 2π/3 रेडियन और चाप की लंबाई 10π सेमी है। वृत्त की त्रिज्या क्या होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 15 cm15 सेमी
For an angle in radians, the arc length is s = rθ. Hence r = s/θ = 10π ÷ (2π/3) = 10π × 3/(2π) = 15 cm.रेडियन में मापे गए कोण के लिए चाप की लंबाई s = rθ होती है। अतः r = s/θ = 10π ÷ (2π/3) = 10π × 3/(2π) = 15 सेमी।
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