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 ) 66.1m ^ 2; 5.3m ^ 2; 16.5m ^ 2; 21m ^ 2
The formula to calculate the area of a sector is:
Area = (θ/360) x πr^2
Given central angle θ = 185 degrees and diameter of the sector = 6.4 m (radius = 6.4/2 = 3.2 m)
Substitute the values into the formula:
Area = (185/360) x π x (3.2)^2
Area = (0.5139) x π x 10.24
Area ≈ 16.5 m^2
So, the area of the sector with a central angle of 185 degrees and a diameter of 6.4 m is approximately 16.5 m^2.
Therefore, the answer is 16.5m^2.