Question

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

Answer 1

The radius of the original circle can be found by dividing the radius of the dilated circle by the scale factor.

Given that the scale factor is 3/4 and the radius of the dilated circle is 9 inches, we can calculate the radius of the original circle as follows:

Radius of the original circle = Radius of the dilated circle / Scale factor
Radius of the original circle = 9 inches / 3/4
Radius of the original circle = 9 inches * 4/3
Radius of the original circle = (9 * 4) / 3
Radius of the original circle = 36 / 3
Radius of the original circle = 12 inches

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