Question

Find the arc length of AB. Round your answer to the nearest hundredth.

Answer 1

The arc length of AB is 8 m (app.)

Explanation:

Given that the radius of the circle is 8 m.

The central angle is 60°

We need to determine the arc length of AB

The arc length of AB can be determined using the formula,

$arc \ length=\frac{central \ angle}{360^{\circ}} \times circumference$

Substituting central angle = 60° and circumference = 2πr in the above formula, we get,

$arc \ length=\frac{60^{\circ}}{360^{\circ}} \times 2 \pi(8)$

Simplifying the terms, we get,

$arc \ length=\frac{8 \pi }{3}$

Dividing, we get,

$arc \ length=8.37758041$

$arc \ length=8(app.)$

Hence, the arc length is approximately equal to 8.

Therefore, the arc length of AB is 8 m