If the radius of the circle is increased by 100%, then new area will be how much times of original area ? 

Correct answer is option 4

Concept use:

Area of Square:  πr2  where r is the radius of Circle.

Explanation:

If the radius of a circle is increased by 100%, it means the new radius is twice the original radius.

Let's denote the original radius as "r" and the new radius as "2r."

The formula for the area of a circle is 

1. Original Area A₁ = πr²

2. New Area A₂ with increased radius (2r):
   A₂ = π(2r)²  = π ×4r²

Change in Area=�2−�1

So, increasing the radius by 100% (doubling it) results in the new area being 4 times the original area.