Question

Please show all your work and round it your answer as needed.


1. Find the length of AB. Round it to the nearest hundredth.

Answer 1

Given:

Radius = 6 cm

Central angle θ = 120°

To find:

The length of arc AB

Solution:

Arc length formula:

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

                  $=2 \times 3.14\times 6 \left(\frac{120^\circ}{360^\circ}\right)$

                  $=2 \times 3.14\times 6 \left(\frac{1}{3}\right)$

                  $=2 \times 3.14\times 2$

                  = 12.56 cm

The length of arc AB is 12.56 cm.