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
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.