Find the area of the sector with central angle 2 pi3 in a ci

Find the area of the sector with central angle 2 pi/3 in a circle of radius 10 meters. (Round to 2 decimal places.)

Solution

Solution:

Area of the sector = 1/2 r² ()

where r = radius and = central angle in radians

Area of the sector = (1/2) * (10)² (2/3)

= 100/3 m²

Answer : 100/3 m²