-
If the circumference of a circle is reduced by 50%, its area will be reduced by
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- 12.5%
- 25%
- 50%
- 75%
- 12.5%
Correct Option: D
Let radius = r
∴ Circumference = 2πr
Reduced circumference = πr = 2π × r/2
∴ New radius = r/2
| ∴ Reduced area = π × |  |  | ² | = | ||
| 2 | 4 |
It is 25% of πr² (the original area)
∴ Area is reduced by 75%.
