Question

Find the angle of this sector.
6 cm
NEED ASAP
5 cm

Answer 1

x ≈ 68.8°

Explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr ×
`(x)/(360)` = 2π × 5 ×
`(x)/(360)` = 10π ×
`(x)/(360)` ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )