Question

The circumference of a hula hoop is 86\pi \text{ cm}86π cm86, pi, start text, space, c, m, end text. What is the radius of the hula hoop? \text{cm}cm

Answer 1

• C=86
  `\pi`

Now

ATQ

`\\ \rm\Rrightarrow C=2\pi r`

`\\ \rm\Rrightarrow 2\pi r=86\pi`

`\\ \rm\Rrightarrow r=(86\pi)/(2\pi)`

`\\ \rm\Rrightarrow r=(86)/(2)`

`\\ \rm\Rrightarrow r=43cm`

Answer 2

• 43 cm

Explanation:

Circumference formula:

• C = 2πr

Given:

• C = 86π

Find r:

• r = C/2π = 86π / 2π = 43 cm