If the radius of a circle is tripled, how many times does the area increase

A: 9

B: 3

C: 6

D: 30

Correct Answer : A

Take initial radius = y

Area = πr²

= π×y²

= πy² cm²

if Tripled radius = 3y

Area = πr²

Area = π × (3y)²

Area = π9y²

we divide the the bigger area(with a radius of 3y) with the smaller area(radius of y)
(π9y²)/(πy²)

Answer : 9

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