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