If the radius of circle O is 14 meters and it is dilated by a scale factor of 2.5, then what will be the circumference of circle O′ ?

Answer 1

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

For circle O, the radius is 14 meters. So, the circumference of circle O is:

C = 2π(14)
C = 28π

When circle O is dilated by a scale factor of 2.5, the new radius of circle O' will be 14 * 2.5 = 35 meters.

The circumference of circle O' will be:

C' = 2π(35)
C' = 70π

Therefore, the circumference of circle O' will be 70π meters.