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The circle below has a radius of 8 centimeters. What is the area of the shaded
region?

The circle below has a radius of 8 centimeters. What is the area of the shaded region-example-1
User Brianm
by
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1 Answer

3 votes

Answer:the area of the shaded Portion is 64π/3 square centimeters

Explanation:

The shaded portion of the circle is a sector with a central angle of 120 degrees.

The formula for determining the area of a sector is expressed as

Area of sector = #/360 × πr^2

Where

# represents the central angle

r represents the radius of the circle.

The radius of the given circle is 8cm.

Area of sector = 120/360 × π × 8^2

= 1/3 × π × 64

= 64π/3 square centimeters

User FabiF
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