Question

In the diagram, what is the length of arc AB?

Answer 1

Arc length = 11.8 cm.

Explanation:

Given : A circle with radius = 5 cm , central angle = 135°.

To find : what is the length of arc AB.

Solution : We have given circle with radius = 5 cm , central angle = 135°.

Arc length =
`(theta)/(360) * 2*\pi * radius`.

Plug the values radius = 5 cm , central angle = 135°.

Arc length =
`(135)/(360) * 2* 3.14 * 5`.

Arc length =
`(135)/(360) * 31.4`.

Arc length = 0.375 * 31.4 .

Arc length = 11.775 cm.

Therefore, Arc length = 11.8 cm.

Answer 2

2 × pi × 5 × 135 / 360 = 11.8