One circle has a diameter of 6 inches. A second, larger circle has a diameter that is four times the diameter of the first circle. What is the ratio of the area of the smaller circle to the larger circle? A 2:3 C 1:16 B 1:6.4 D 1:64

Let's find the answers.

Small Circle

The radius is half of the diamter. 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.

So C. 1:16.

A=pi * r^2

6/2=3. 3^2=9. 9*pi=28.27

6*4=24. 24/2=12. 12^2=144. 144 * pi=452.39

452.39/28.27=16

Ratio is 1:16 - - C