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.

based on context clues you gave i'm assuming the answer would be c.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.