Questions :
A ring-shaped metallic sheet has outer and inner radii 14 cm and 7 cm. What percentage of the full circle’s area is the ring ?
Options :
- 36%
- 48%
- 75%
- 76%
correct answer : c)
Explanation :
The area of the full circle is πR² = π × 14² = 196π cm². The area of the inner circle is πr² = π × 7² = 49π cm². Therefore, the area of the ring is 196π − 49π = 147π cm². The percentage of the full circle occupied by the ring is (147π / 196π) × 100 = 75%. Hence, option (c) is correct. Option (a) 36%, option (b) 48%, and option (d) 76% do not satisfy the given dimensions and are therefore incorrect.