If the diameter of circle C is 3 times greater than the diameter of circle D, the area of circle C is how many times the area of circle D?

Solution:

Given, diameter of circle C is 3 times greater than the diameter of circle D

We have to find the ratio of area of circle C and circle D.

Let the diameter of circle D = x

So, diameter of circle C = 3x

Area of the circle = π(diameter)²

Area of circle C = π(3x)² /4

= 9πx²/4

Area of circle D = π(x)²/4

Area of circle C / Area of circle D = (9πx²/4) / (π(x)²/4)

= 9/1

Therefore, the area of circle C is 9 times the area of circle D.

If the diameter of circle C is 3 times greater than the diameter of circle D, the area of circle C is how many times the area of circle D?

Summary:

If the diameter of circle C is 3 times greater than the diameter of circle D, the area of circle C is 9 times the area of circle D.