What is the area of the sector of a circle with θ=75° and a radius of 4 feet? Include pi in your calculation.
To calculate the area of the sector of a circle, we can use the formula:
Area = (θ/360) * π * r^2
Where:
θ = 75° (angle in degrees)
r = 4 feet (radius of the circle)
Substitute the given values into the formula:
Area = (75/360) * π * 4^2
Area = (0.2083) * π * 16
Area ≈ 1.05 * π
Therefore, the area of the sector of a circle with θ=75° and a radius of 4 feet is approximately 1.05π square feet.