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What will be the radius of circle in which a central angle of 60° intercepts an arc of length 37.4 cm.
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- 35 cm
- 34.7 cm
- 35.7 cm
- 40 cm
- 35 cm
Correct Option: C
Here,
θ = 60°
l = 37.4 cm
r = ?
We know that,
| 1° = | ![]() | ![]() | R | |
| 180° |
| ⇒ 60° = | ![]() | × 60 | ![]() | R | |
| 180° |
| ⇒ 60° = | ![]() | ![]() | R | |
| 3 |
We know that,
| θ = | |
| r |
| ⇒ | = | ||
| 3 | 4 |
| ⇒ r = | ||
| π |
| r = | ||
| 22 |
= 1.7 × 21 = 35.7 cm

