Question

What will be the increase in area of a circle , if its radius is increased by 40%

Answer 1

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Q. 5

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

A. 40%

B. 80%

C. 96%

D. 82%

Class 10thRS Aggarwal - Mathematics18. Area of Circle, Sector and Segment

Answer

Let the radius if circle be r

Area of circle = A = πr2

Radius increases by 40%

So, New Radius r’ = r + 40/100 × r = 1.4r

New Area of circle = A’ = πr’2 = π × (1.4r)2

= 1.96πr2

Percentage increase in area =

== .96 × 100 = 96

∴ Increase in area = 96%

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