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one circle has a diameter of 6 inches. A larger circle has a diameter that is 4 times the diameter of the circle. what is the ratio of the area of the smaller circle to the larger circle?

A. 2:3
B. 1:6.4
C. 1:16
D 1:64

Respuesta :

sandlerian

Answer:

C, 1 : 16

Step-by-step explanation:

Small Circle

The radius is half of the diameter. 3 inches.

π×r²=A

We'll use 3.14 for pi.

3.14×9

28.26 in²

Bigger Circle

6×4= 24

So the diameter is 24. The radius is 12.

3.14×12²

3.14×144

452.16 in²

Let's divide.

452.16÷ 28.26

= 16

Therefore, the answer is C, 1 : 16.

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