# Answer to Question #4154 in Geometry for Rebekah Cato

Question #4154

A 30 degree angle cuts off an arc in a circle with a diameter of 10 in. find the length of the arc to the nearest hundreth.

Expert's answer

The arc length is S= Rθ , where θ is the angle measured in radians.

In our case θ = 30 degree = π/6

R = 10/2 = 5 in.

Thus

S = 5π/6 = 2.62 in.

In our case θ = 30 degree = π/6

R = 10/2 = 5 in.

Thus

S = 5π/6 = 2.62 in.

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