Question

Find the perimeter of the quarter-circle. Give your answer to the nearest whole number.

Round to the nearest hundredths.

The perimeter of the quarter- circle is ____ cm.

Answer 1

Yes correct yay ! :)

Answer 2

The perimeter of the quarter-circle is 200 cm.

Explanation:

Given that the angle of quarter-circle is 90°. So using Length of Arc formula, you are able to find the length of curve :

`arc = (θ)/(360) * 2 \: \pi \: r`

Let r be radius = 56 cm,

Let θ = 90°

`arc = (90)/(360) * 2 *\pi * 56`

`= (1)/(4) * 2 * \pi * 56`

`= (1)/(2) * \pi * 56`

`= 28\pi \: cm`

We have already found the arc. Next we have to add up together to find the perimeter :

`p = 56 + 56 + 28\pi`

`p = 112 + 28\pi`

`p = 200 \: cm \: (3s.f)`