What is the area of a sector with a central angle of 185° and a diameter of 6.4 m? Round the answer to the nearest tenth.
(1 point)
Responses
66.1 m2
66.1 m 2
5.3 m2
5.3 m 2
16.5 m2
16.5 m 2
21.0 m2
The formula to calculate the area of a sector is A = (θ/360) * π * r^2, where θ is the central angle and r is the radius.
The radius of the sector is half of the diameter, so r = 6.4/2 = 3.2 m.
Using the formula, we have A = (185/360) * π * 3.2^2 ≈ 16.5 m^2.
Therefore, the answer is 16.5 m2.