The radius of a circle is 8 kilometers. What is the length of a 90° arc?

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21-12-2020
Mathematics

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The radius of a circle is 8 kilometers. What is the length of a 90° arc?

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Аноним Аноним · Answer 1 · 2020-12-21T18:25:06+01:00

Аноним Аноним

21-12-2020

To answer, you need the circumference, and a 90 degree arc is just 1/4 of that circumference (360/90).

C=pi(D)
C=pi(16) (16 because diameter is just 2x the radius, which is 8)
C=16pi

So, divide this by 4, and the arc will be 4pi.

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