Question

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

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer:

D. 4

Solution:

Correct answer is option D

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

3. New Area A₂ with increased radius (2r):

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