Question

If the ratio of the radii of two circles is 5:3, find the ratio of their circumstances and areas.

Answer 1

Answer:

Let the radii of the given circles be 5x and 3x respectively and let their circumferences be C

1

and C

2

respectively.

Circumference of a circle =2πr

Then, C

1

=2×π×5x=10πx and C

2

=2×π×3x=6πx

∴

C

2

C

1

=

6πx

10πx

C

2

C

1

=

3

5

Hence, the ratio of the circumference of the given circles is 5:3