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 . m

Answer 1

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

What is the Length of an Arc?

The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

$\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}$

                            $= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m$

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

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