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
21.0 m 2
The formula to calculate the area of a sector is A = (θ/360)πr^2, where θ is the central angle in degrees and r is the radius.
Given that the diameter is 6.4 m, the radius would be half of that, which is 3.2 m.
A = (185/360)π(3.2)^2
A = (0.5138888888888888)π(10.24)
A = 16.62793864446747
A ≈ 16.5 m^2
Therefore, the area of the sector is 16.5 m^2. The closest answer choice is 16.5 m^2.