If you dilate a circle with radius of 15 cm and the scale factor is

1 third,


What is the area of the circle?

1 answer

The area of a circle is calculated using the formula A = πr^2, where r is the radius of the circle.

Given that the radius of the original circle is 15 cm, the area of the original circle is:
A_original = π(15)^2 = 225π cm^2

If the scale factor is 1/3, then the radius of the dilated circle will be 15 cm * (1/3) = 5 cm.

Therefore, the area of the dilated circle is:
A_dilated = π(5)^2 = 25π cm^2

So, the area of the dilated circle with a scale factor of 1/3 is 25π cm^2.