Question

A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.

Answer 1

Solution :-

Angle of circle = π/3 r

Length of minor arc = 7 in

Now

We know that

Radius = Length/Angle

Radius = 7/(π/3)

Radius = 7/π × 3

Radius = 21/π

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Answer 2

9514 1404 393

Answer:

6.68 in

Explanation:

The length of an arc is given by ...

s = rθ . . . . θ in radians

Then the radius is ...

r = s/θ

r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in

The radius of the circle is about 6.68 inches.