Question

The radius of a circle is doubled. The percentage increase in its area is
( i ) 100%
( ii ) 200%
( iii ) 300%
( iv ) 400%
please solve this problem

Answer 1

Let the radius of a circle be 'r'. When it is doubled, it becomes '2r'.

Area of the circle = pie × r^ 2

Area of the circle with doubled radius

= pie × (2r)^ 2 = pie × 4r^ 2.

Hence, the area of the circle increases by 300% (option 3) when the radius is doubled.

Hope it helps you.

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