![The circumference of circle A is 44 cm more than the circumference of circle B and the ratio of the radius of circle A to circle B is 3:2](https://www.gkseries.com/blog/wp-content/uploads/2024/03/The-circumference-of-circle-A-is-44-cm-more-than-the-circumference-of-circle-B-and-the-ratio-of-the-radius-of-circle-A-to-circle-B-is-3-2.jpg)
The circumference of circle A is 44 cm more than the circumference of circle B and the ratio of the radius of circle A to circle B is 3:2. Find the area of circle B?
A. 462 cm2
B. 616 cm2
C. 308 cm2
D. 154 cm2
C. None of these
Sol:
Let the radius of circle A = 3x
And the radius of circle B = 2x
2 * 22/7 * 3x – 2 * 22/7 * 2x = 44
3x – 2x = 44 * 7/(22 * 2)
x = 7
The radius of circle B = 2 * 7 = 14 cm The area of circle B = 22/7 * 142 = 616 cm2