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Triss [41]
2 years ago
13

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

Mathematics
2 answers:
Nikitich [7]2 years ago
8 0
Yes correct yay ! :)
Bezzdna [24]2 years ago
6 0

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)

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============================================

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