Question

The ratio of the radius of circle A to the radius of circle B is 3:5. The ratio of the radius to circle A to the radius of circle C is 3:4. What is the ratio of the area of circle B to circle C?

5:4

9:16

9:25

15:11

25:16

Answer 1

Hints:
1) Radius of circle A = 3x
2) Radius of circle B = 5x
3) Radius of circle C = 4x

Answer 2

All you should do is to find\[5x \over 4x \]

Answer 3

R (A/B)=3/5
and R(A/C)=3/4
therefore R(B/C)=(3/4)/(3/5)= 3/4*5/3=5/4

Answer 4

ratios of area= ratios of square of radius

Answer 5

Obviously, the radius of circle C won't be 0... so you can cancel.

Answer 6

(5/4)^2=25/16

Answer 7

\[5x \over 4x \]\[5 \over 4 \]

Answer 8

Now you have to find the ratios of their squares.

Answer 9

so the answer would be 5:4?

Answer 10

No.

Answer 11

nope square of that

Answer 12

\[{5^2 \over 4^2} \]

Answer 13

25:16

Answer 14

yes