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′ ?
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.