Question

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

Answer 1

Yes correct yay ! :)

Answer 2

Answer:

The perimeter of the quarter-circle is 200 cm.

Step-by-step 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 :

$arc = \frac{θ}{360} \times 2 \: \pi \: r$

Let r be radius = 56 cm,

Let θ = 90°

$arc = \frac{90}{360} \times 2 \times\pi \times 56$

$= \frac{1}{4} \times 2 \times \pi \times 56$

$= \frac{1}{2} \times \pi \times 56$

$= 28\pi \: cm$

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

$p = 56 + 56 + 28\pi$

$p = 112 + 28\pi$

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