Question

A circle with an area of 8pi square centimeters is dilated so that its image has an area
of 32pi square centimeters. What is the scale factor of the dilation?
A.2
B. 4
C. 8
D. 16

Answer 1

Answer:

scale factor = length of image

corresponding length of object

= 32

8

= 4

Answer 2

The scale factor of the dilation of the given object is 4.

What is scale factor of dilation?

The scale factor of dilation of an object is determined by taking the ratio of image length to corresponding object length.

The scale factor of the dilation of the object is calculated as follows;

$S.D = \frac{32\pi \ cm^2}{8\pi \ cm^2} \\\\S.D = 4$

Thus, the scale factor of the dilation of the given object is 4.

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