Question

The radius of a circle is 7 metres. What is the length of a 135° arc?

Answer 1

16.5 meters

Step-by-step explanation:

The length of an arc of a circle = 2πr(C/360°) ;where:

C is the central angle of the arc,

R is the radius of the arc

Length of the arc = 2π(7)(135/360)

= 16.493

= 16.5 metres (approx.)

Answer 2

Arc Length: 5.25π or
`(21)/(4) \pi`

Step-by-step explanation:

An arc is the part of the circumference of a circle.

Formula:

`\sf Arc \ Length = (\theta)/(360) \ * \ 2\pi \ * radius`

If applied:

`\sf Arc \ Length = (135)/(360) \ * \ 2\pi \ * 7`

`\sf Arc \ Length = (3)/(8) \ * \ 14\pi`

`\sf Arc \ Length = (21)/(4) \pi`

`\sf Arc \ Length = 5.25 \pi`