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a circle has an arc of length 56 π that is intercepted by a central angle of 120°.what is the radius of the circle ?

User Philshem
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2 Answers

0 votes

Answer:

The circumference of the entire circle is

✔ 28.26

π in.

The sector is

✔ 1/3

of the circle.

The arc length is

✔ 9.42

π in.

Explanation:

User Cyprien Autexier
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5.5k points
2 votes

We know that...

arc length = radius x central angle in radians

radius = arc length/central angle in radians

120° = 2π/3 radians

radius = 56π/(2/3π) = 84 units

answer: 84 units

User UnsafePtr
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