Question

How long is the arc intersected by a central angle of startfraction pi over 3 endfraction radians in a circle with a radius of 6 ft? round your answer to the nearest tenth. use 3.14 for pi.

Answer 1

The measure of the arc length is 6.28 units if the arc intersected by a central angle of  π/3 radians in a circle with a radius of 6 ft.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

The radius of the circle r = 6 ft

The measure of the central angle θ = π/3

We know,

s = rθ

s is the arc length.

s = 6(π/3)

s = 2(3.14)

s = 6.28

Thus, the measure of the arc length is 6.28 units if the arc intersected by a central angle of  π/3 radians in a circle with a radius of 6 ft.

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