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In a circle with a radius of 7.7, an angle intercepts an arc of length 29.6

Find the angle in radians, to the nearest tenth

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Answer:

3.8 radians

Explanation:

The length of an arc is given by ...

s = rθ . . . . . where r is the radius and θ is in radians

so the angle is ...

θ = s/r

θ = 29.6/7.7 ≈ 3.8

The angle is about 3.8 radians.

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