Question

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

Answer 1

The arc length of AB = 8.37 meters

Solution:

Degree of AB (θ) = 60°

Radius of the circle = 8 m

Let us find the arc length of AB.

Arc length formula:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)$

                 $=2 \times 3.14 \times 8 \left(\frac{60^\circ}{360^\circ}\right)$

                 $=2 \times 3.14 \times 8 \left(\frac{1}{6}\right)$

Arc length = 8.37 m

Hence the arc length of AB is 8.37 meters.