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

Question

asked Dec 5, 2021 168k views

1 Answer

Gerson Diniz · Answer 1 · 2021-12-10T22:00:55+0000

Answer:

≈ 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 )