Question

The ratio of the radii of two circles is 4:5. Find the ratio of their circumference.

Answer 1

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Answer 2

The ratio of their circumference is 4:5

Given : The ratio of the radii of two circles is 4:5

To find : The ratio of their circumference.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the ratio of their circumference)

Let, their radii = 4x and 5x

(obtained from the ratio 4:5)

Now, we know that :

Circumference of the circle = 2 × π × radius

The circumference of the first circle = 2 × π × 4x = 8πx

The circumference of the second circle = 2 × π × 5x = 10πx

The ratio of their circumference :

= 8πx : 10πx

= 8:10

= 4:5

(This will be considered as the final result.)

Hence, the ratio of their circumference is 4:5