Question

Circle P and circle Q are similar. What is the scale factor which converts P to Q?

A) 0.33
B) 1.5
C) 3
D) 6

Answer 1

Answer: C

Explanation:

To find the scale factor between circle P and circle Q, divide the diameter of circle Q by the diameter of circle P, 4.5 ft÷1.5 ft = 3. The scale factor between circle P and circle Q is 3.

Answer 2

The correct option is C and the scale factor which converts P to Q is 3.

Explanation:

From the figure it is clear that the diameter of circle P is 1.5 feet and the diameter of circle Q is 4.5 feet.

Circle P is pre-image and circle Q is image.

Scale factor is the proportion of diameter of image and pre-image.

`k=(4.5)/(1.5)`

`k=3`

Therefore the scale factor which converts P to Q is 3 and correct option is C.