Intermediate Geometry : How to find the area of a sector

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #61 : Plane Geometry

Give the area of a sector of a circle if its central angle is  and the length of its arc is 10 inches. Write the answer in terms of , if applicable.

Possible Answers:

Correct answer:

Explanation:

The arc of the  sector measures 10 inches, so the circumference of the entire circle is

 

The radius is therefore

The area of a  sector of this circle measures:

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