Question

calculate the length of arc of a sector which subtend an angle of 135°at the center of a circle of radius 16cm​

Answer 1

≈ 37.7 cm

Explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

= 2πr ×
`(135)/(360)`

= 2π × 16 ×
`(3)/(8)`

= 32π ×
`(3)/(8)` =
`(32(3)\pi )/(8)` ≈ 37.7 cm ( to 1 dec. place )