If the radius of a circle is increased by a factor of 5, the area increases by a factor of:

A:5

B:10

C:25

D:50

The area will be increased by 25. Option C

Step-by-step explanation:

Given,

The radius of a circle is increased by 5.

To find how much the area will be increased.

Let us take,

The original radius of the circle is = r

The original area = πr²

Again,

After increasing the radius = 5r

Then the area will be = π (5r) ² = 25πr²

= 25 (original area)

Hence,

The area will be increased by 25.