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((\theta)/(360^\circ)\right)`

`$=2 * 3.14* 6 \left((120^\circ)/(360^\circ)\right)`

`$=2 * 3.14* 6 \left((1)/(3)\right)`

`$=2 * 3.14* 2`

= 12.56 cm

The length of arc AB is 12.56 cm.