Question

You use scale, factor of 3/4 to create a dilated circle with a radius of 9 inches. What is the radius of the original circle?

Answer 1

To find the radius of the original circle, we can use the relationship between the radius of the original circle and the radius of the dilated circle obtained by scaling.

Let r be the radius of the original circle.

Given that the dilated circle has a radius of 9 inches after scaling by a factor of 3/4, we can set up the following equation:

(3/4) * r = 9

To solve for r, we can multiply both sides of the equation by (4/3):

r = 9 * (4/3)

Simplifying, we get:

r = 36/3

r = 12

Therefore, the radius of the original circle is 12 inches.