Question

What is the area of the sector of a circle with θ=75°
𝜃
=
75
°
and a radius of 4 feet? Include pi in your calculation.(1 point)
Responses

A=50.265 ft.2
𝐴
=
50.265

ft.
2

upper A equals 20.265 ft. squared

A=39.794 ft.2
𝐴
=
39.794

ft.
2

upper A equals 39.794 ft. squared

A=2.168 ft.2
𝐴
=
2.168

ft.
2

upper A equals 2.168 ft. squared

A=10.472 ft.2

Answer 1

Area = (θ/360)·πr^2 = (75/360)·π·4^2 = (5/24)·16π = (10/3)π ft^2 ≈ 10.472 ft^2.

So the correct choice is A = 10.472 ft² (exactly 10π/3 ft²).