Question

Find the radius and diameter of a circle with a circumference of 51π​

Answer 1

Radius = 25.5 units

Diameter = 51 units

Explanation:

r = radius of circle

d = Diameter of circle

=
`2r`

Circumference of circle =
`2\pi r`

Substitute the provided value of the circumference:

`51\pi = 2\pi r`

r is to be isolated and made the subject of the formula:

`r = (51\pi)/(2\pi)`

`\pi` in the numerator and denominator cancel each other outcompletely:

`r = (51)/(2)`

∴r = radius of circle = 25.5 units

This also means that:

`d = 2r`

`d = 2(25.5)`

∴d = Diameter of the circle = 51 units