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If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?
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If the radius of a circle is 6 inches, how long is the arc subtended by an angle measuring 70°?

User Brainydexter
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2 Answers

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Set up a ratio of distance to angle:

2pπ/L=360/α

360L=2πrα

L=(πrα)/180, given that α=70° and r=6 we have:

L=(420π)180

L=(21π)/9 in

L≈7.33 in
User Ryan Prechel
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5 votes

Answer

7/3

Explanation:

User Motive
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