What is the area of the Shaded Region?

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I need help figuring out what the area of the shaded part is.
Answer needs to be in at least 2 decimal places.

2 Answers
May 7, 2018

AShaded Regioni=603.19 square feet

Explanation:

.

The three central angles are shown to be equal. Therefore, each is 3603=120.

The area of the shaded region is 13 of the area of the circle.

ACircle=πr2=π(24)2=576π square feet

AShaded Region=576π3=192π=603.19 square feet

May 7, 2018

A=603.19ft2

Explanation:

The angle of a circle is 360 degrees. Since the sectors are equally split in three, then the angle is 3603=120.

To calculate the area of a sector, you apply this formula:

A=θ360πr2

The angle θ is 120 and the radius r is 24ft.

A=120360242π

A=603.19