Question

A larger circle has a circumference of 30. A smaller circle has a circumference of one third of that. Find the radius of the smaller circle.

Answer 1

The radius of the smaller circle is 2 (approximately).

Explanation:

Given:

Circumference of larger circle is 30, and circumference of smaller circle is one third of that.

So, to get the radius of the smaller circle, let us calculate its circumference.

`(1)/(3) *30`

`=(30)/(3)`

`=10`.

Now, putting the formula of circumference(c) to find the radius(r):

`c=2\pi r`

⇒
`10=2*3.14* r` (π = 3.14)

⇒
`10=6.28* r`

by dividing both sides by 6.28 we get:

⇒
`(10)/(6.28) =r`

⇒
`1.59=r`

⇒
`r=1.6`.

Therefore, the radius of the smaller circle is 2 (approximately).