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 Question from Serenity, a student: A denotes the area of a sector of a circle of radius r formed by the central angle theta. Find the area A if r=10 meters and theta = 1/2 radians.

Serenity,

The area of a circle of radius r meters is π r2 square meters. The central angle of one entire revolution of the circle is 360 degrees or 2π radians. Hence 1/2 a radian is 1/(4π) of the way around the circle. Thus the area of your sector is 1/(4π) of the area of the circle.

I hope this helps,
Penny

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