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

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asked Dec 1, 2021 104k views

5 votes

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

Mathematics
high-school

Shawn Holmes asked

by Shawn Holmes

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1 Answer

7 votes

Answer:

12.56 miles

Explanation:

$l = ( \theta)/(360 \degree) * 2\pi \: r \\ \\ = ( 90 \degree)/(360 \degree) * 2 * 3.14 * 8 \\ \\ = ( 1)/(4) * 16 * 3.14 \\ \\ = 4 * 3.14 \\ = 12.56 \: miles$

Hence, length of arc = 12.56 miles

Aggietech answered Dec 4, 2021

by Aggietech

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