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Maksim231197 [3]
3 years ago
9

The radius of a circle is 3 miles. What is the length of a 90° arc?

Mathematics
1 answer:
stealth61 [152]3 years ago
3 0

Answer:

The length of the arc is 4.6375 miles

Step-by-step explanation:

Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.

2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles

Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.

x/360 ---> 90/360 ---> = 0.25

Lastly multiply the two numbers.

18.55 * 0.25 ---> 4.6375 miles is your answer.

<em>(you may need to round your answer if needed)</em>

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Step-by-step explanation:

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V=\pi r^2H

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