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3 years ago

What is the area of the shaded region in the given circle in terms of pi and in simplest form?

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer:

Area of the shaded portion = (120π + 36√3)sq. m

Step-by-step explanation:

Area of the shaded region = Area of circle - Area of triangle

Given

radius of the circle = 12m

Area of the circle = πr²

Area of the circle = π(12)²

Area of the circle = 144π m²

Area of the sector = theta/360 * πr²

Area of the sector = 60/360 * 12²π

Area of the sector = 60/360 * 144π = 24π

Area of the triangle = 1/2 bh

Area of the triangle = 1/2 (12cos30)(12)

Area of the triangle = 36√3

Area of the shaded portion = (144π - 24π + 36√3)sq. m

Area of the shaded portion = (120π + 36√3)sq. m

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