4.) What is the area of the sector with a central angle of 60 degree and a radius of 2m? Round your answer to the nearest tenth or leave in terms of pi.

Help please and show work I'm stuck on this problem

1 answer

To find the area of a sector, we need to use the formula:

Area of Sector = (central angle / 360) x pi x radius^2

In this case, the central angle is 60 degrees, the radius is 2m, and we are rounding to the nearest tenth:

Area of Sector = (60 / 360) x pi x 2^2
Area of Sector = (1 / 6) x pi x 4
Area of Sector = 2/3 x pi
Area of Sector ≈ 2.1 square meters

Therefore, the area of the sector with a central angle of 60 degrees and a radius of 2m is approximately 2.1 square meters.