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A sector has an area of 24 cm² and a radius of 6 cm. What is its central angle in radians?एक वृत्तखंड का क्षेत्रफल 24 सेमी² और त्रिज्या 6 सेमी है। उसका केंद्रीय कोण रेडियन में कितना है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 4/3 rad4/3 रेडियन
For a sector, A = ½r²θ when θ is in radians. Thus 24 = ½ × 6² × θ = 18θ, giving θ = 24/18 = 4/3 radians.वृत्तखंड का क्षेत्रफल A = ½r²θ होता है, जहाँ θ रेडियन में है। इसलिए 24 = ½ × 6² × θ = 18θ, अतः θ = 24/18 = 4/3 रेडियन।
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