The sector of a circle with a diameter of 8 feet has a central angle measure of 45°. What is the area sector?
a.) π/2 ft²
b.) π ft²
c.) 2π ft²
d.) 8π ft²
We can calculate the area, A, as
A = pi * radius^2 * ( angle measure / 360 )
If the diameter is 8 ft.....the radius is 1/2 of this = 4 feet....so we have
A = pi * (4)^2 ( 45 / 360)
A= pi * 16 ( 1/8)
A = pi *2
A ≈ 6.28 ft^2