Circle $A$ has a diameter of 12 inches and circle $B$ has a diameter of 22 inches. What is the ratio of the area of circle $A$ to the area of circle $B$? Express your answer as a common fraction.

Let's first find the area of each circle.

Circle A:

r = 12 / 2 = 6

A = pi x 6^2

A = 36pi in^2

Circle b:

r = 22 / 2 = 11

A = pi x 11^2

A = 121pi in^2

Now, the ratio would be the area of circle A / circle B.

36pi / 121pi = 113.10 in^2 / 380.13 in^2

Hope this helps!! :)

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.