Multiple choice

The length of arc whose central angle is θ is 26.4 cm and radius of circle is 28 cm. Find the θ = ? किसी चाप की लम्बाई 26.4 सेमी है जो वृत्त के केन्द्र पर θ कोण बनाता है। यदि वृत्त की त्रिज्या 28 सेमी है तो θ का मान = ?

  1. 60o

  2. 75o

  3. 64o

  4. 54o

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Arc length formula: s = rθ (θ in radians). Given s = 26.4 cm, r = 28 cm, so θ = 26.4/28 radians. Converting to degrees: θ = (26.4/28) × (180/π) ≈ (0.942857) × 57.296° ≈ 54°. The conversion factor from radians to degrees is 180/π ≈ 57.3°.