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 the sector of a circle, we can use the formula A = (θ/360) * π * r^2, where θ is the central angle in degrees, r is the radius of the circle.
Given θ = 75° and r = 4 feet, we can plug these values into the formula:
A = (75/360) * π * 4^2
= (5/24) * π * 16
= (5/3) * π
≈ 5.24 square feet
Therefore, the area of the sector of a circle with a central angle of 75° and radius of 4 feet is approximately 5.24 square feet.