Use the scale factor of 3/4 create a dilated circle with a radius of 9 in what is the radius of the original circle

1 answer

To find the radius of the original circle, we need to reverse the dilated circle using the scale factor.

Given that the scale factor is 3/4, we need to perform the inverse operation of multiplying by 3/4.

Let r be the radius of the original circle.

To reverse the dilated circle, we divide the radius of the dilated circle (9) by the scale factor (3/4):

r = 9 / (3/4) = 9 * (4/3) = 36/3 = 12

Therefore, the radius of the original circle is 12.