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A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle

3pi inches

2pi inches

pi inches

6pi inches

A circle has a radius of 6 inches and a central angle of 60°. What is the measure-example-1
User Aecavac
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1 Answer

5 votes

Answer:

Option B. 2π inches

Explanation:

From the question given above, the following data were obtained:

Radius (r) = 6 in

Centre angle (θ) = 60 °

Length of arc (L) =?

The length of arc can be obtained as follow:

L = 2πr × (θ/360°)

L = 2 × 6 × π × (60/360)

L = 12π × 1/6

L = 2π in

Thus, the length of the arc is 2π in.

User Matt Moore
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