Question

Please help- Geometry question!!

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:

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

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

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

                  $=2 \times 3.14 \times 4\left(\frac{1}{3}\right)$

Arc length = 8.37 m

Hence the arc length of AB is 8.37 meters.