Multiple choice

An arc of length 37.4 cm inercepts angle 600 at centre find the radius of the circle- एक 37.4 सेमी. लंबाई का चाप केन्द्र पर 600 का कोण अन्तरित करता है तो वृत्त की त्रिज्या ज्ञात कीजिए।

  1. 35.2 cm./सेमी.

  2. 37.4 cm./सेमी.

  3. 35.7 cm./सेमी.

  4. 35.00 cm./सेमी.
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C Correct answer
Explanation

Arc length formula: l = (θ/360) × 2πr, where θ is in degrees. Given l = 37.4 cm and θ = 60° (not 600° - typo in question). So 37.4 = (60/360) × 2πr = (π/3)r, giving r = 37.4 × 3/π. Using π ≈ 3.14: r ≈ 112.2/3.14 ≈ 35.7 cm.

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