What is the area of the shaded region in the given circle in terms of pi and in simplest form
Asked by maham237 @ in Mathematics viewed by 406 People
Possible Answers:
A) (120π + 6√3) m^2
B) (96π + 36√3) m^2
C) (120π + 36√3) m^2
D) (96π + 6√3) m^2
Answered by maham237 @
In order to determine the area of the shaded region, we need to determine the area of the circle, the sector and the triangle that is a part of the sector. We calculate as follows:
Area of the circle = πr^2 = π(12)² = 144π
Area of the sector = 144π ( 60/360) = 24π
Area of the triangle = 1/2 bh = 1/2 (12cos30)(12) = 36√3
Area of the shaded region = 144π - 24π + 36√3 = 120π + 36√3
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