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In a circle, two arcs of unequal length subtend angles in the ratio 5 : 3. If the smaller angle is 45° then the measure of other angle in degrees is :
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- 75°
- 72°
- 60°
- 78°
- 75°
Correct Option: A
We find the required answer with the help of given formula ,
| θ = | where θ is in radian measure. | |
| r |
| ∴ θ1 = | : θ2 = | ||
| r1 | r2 |
| ⇒ | = | ||
| θ2 | r1 l2 |
| ⇒ | = | (∵ r1 = r2) | ||
| 45° | 3 |
| ⇒ θ1 = | × 45° = 75° | |
| 3 |
