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On increasing the diameter of a circle b...

On increasing the diameter of a circle by 40% its area will be increased by

A

`40%`

B

`80%`

C

`96%`

D

`82%`

Text Solution

Verified by Experts

The correct Answer is:
C
Let original diameter be 100 units. Then, original radius `=50`
`:.` original area `=pixx(50)^(2)=2500pi`
New diameter `=140`. New radius `=70`
New area `=pixx(70)^(2)=4900pi`
Increase `%=(2400/2500xx100)%=96%`
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