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?(1 point)

inches

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the radius of the original circle, you need to divide the radius of the dilated circle by the scale factor.

Original radius = Dilated radius / Scale factor
Original radius = 9 inches / (3/4)

To divide by a fraction, you can multiply by its reciprocal:
Original radius = 9 inches * (4/3)

Multiplying the numbers:
Original radius = 36/3 inches
Original radius = 12 inches

The radius of the original circle is 12 inches.