Question

A sector is cut from a circle of radius 21 cm. The angle of the sector is 150°. Find the length of the arc and the area of the sector.

Answer 1

Given:
Radius = 2 cm
Angle of sector = 150°

Now,

Length of the arc`= (2pi"r"theta)/360`

`=(2xx22/7xx21xx150)/360`

= 55 cm

Area of the sector `= (pi"r"^2theta)/360`

`= 22/7xx21xx21xx150/360`

= 577.5 cm