Quiz: Area of a Sector

Mathematics

1 answer:

bulgar [2K]3 years ago

3 0

Answer:

97 cm²

Step-by-step explanation:

The complete question is attached.

The circle has a diameter of 12 m. The radius of the circle = diameter/2 = 12/2 = 6 cm.

The area of the circle = πr² = π × 6² = 113 cm²

To find the area of the shaded portion we have to find the area of sector and subtract it from the circle area.

The angle of the sector (θ) = 360 - 310 = 50°

$Area\ of\ the\ sector=\frac{\theta}{360} *\pi r^2=\frac{50}{350}*\pi*6^2=16\ cm^2$

Area of shaded portion = Area of circle - Area of of sector = 113 - 16 = 97 cm²

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