Question

if radius of circle is increased by 20% then the area is increased by :

Answer 1

HELLO DEAR USER !

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Area of circle is given by :-

A = pi r^2

As radius is increased by 20%

So

A' = pi (20% r )^2

A' = pi 400 r^2

A' = 400 (pi r^2)

We know that pi r^2 = A

So ....

A' = 400% A

Area is increased by 400 %

Or

400÷100=4

A' = 4A

Area is increased 4 times

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INSHALLAH IT WILL HELP U

Answer 2

let radius be r. increased radius = 20/100 *r + r = r/5. +r = 6/5*r. Initial area of circle = πr^2 Increased area = π6/5*6/5*r^2 - πr^2 = π 36/25*r^2 - πr^2 = 36/25*πr^2 πr^2 = 9/25*πr^2. So , % of increased = (9/25*πr^2)÷(πr^2) * 100 =36%. please mark me as brainliest