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 find the area of a sector of a circle, you need to use the formula:
Area of sector = (θ/360) * π * r^2
Where:
θ = angle in degrees
r = radius of the circle
Plugging in the values given:
θ = 75°
r = 4 feet
Area of sector = (75/360) * π * 4^2
Area of sector = (0.2083) * π * 16
Area of sector = 0.2083 * 50.2655
Area of sector = 10.48 square feet
Therefore, the area of the sector of the circle with θ=75° and a radius of 4 feet is 10.48 square feet.