Question

The circumference of a circle is 36 x feet. What is the length of the radius of this circle?

O 9 ft
18 ft
0 36 ft
072 ft

Answer 1

`\boxed{\sf Radius \ of \ circle = 18 \ ft}`

Given:

Circumference of a circle = 36π feet

To Find:

Length of the radius of circle (r).

Explanation:

`\sf \implies Circumference \: of \: a \: circle =2\pi r \\ \\ \sf \implies 36 \cancel{\pi} = 2 \cancel{\pi }r \\ \\ \sf \implies (36)/(2) = \frac{ \cancel{2}r}{ \cancel{2}} \\ \\ \sf \implies (36)/(2) = r \\ \\ \sf \implies r = (36)/(2) \\ \\ \sf \implies r = \frac{18 * \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies r = 18 \: ft`