Explanation:
To find the length of the radius after the dilation, we need to multiply the original radius by the scale factor.
Given:
Original radius = 14 yards
Scale factor = 2/3
To find the new radius, we multiply the original radius by the scale factor:
New radius = Original radius * Scale factor
= 14 * (2/3)
= (14 * 2) / 3
= 28 / 3
Therefore, the length of the radius after the dilation is 28/3 yards.