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A circle with a radius of 14 yards is being dilated by a scale factor of 2/3. What is the length of the radius after the dilation?

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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.

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