Question

A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in the box. express your answer using π .

Answer 1

Assuming the radius is 5.4m. The exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.

Length of an arc

Arc length of the circle=(theta)/360×pi×diameter

Diameter=2×radius

Where:

radius=5.4

Diameter=2×5.4=10.8

theta=60°

Arc length:

Arc length=60°/360°×π×10.8

Arc length=5.6548667765 or 1.8π

Inconclusion the exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.

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Answer 2

Answer:

1.8π

Explanation:

central angle/360=x/2πr

60/360=x/2(5.4)(π)

36x/36=6x2x5.4xπ/36

x=64.8π/36

x=1.8π