Intermediate Geometry : Sectors

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #31 : How To Find The Angle Of A Sector

True or false: A  sector of a circle comprises one third of the circle.

Possible Answers:

True

False

Correct answer:

False

Explanation:

A circle includes  of angle measure, so a sector of measure  is  of the circle. Set  - the sector is 

of the circle. The statement is false.

Example Question #33 : How To Find The Angle Of A Sector

Inscribed angle 2

 is the center of the above circle.

True, false, or undetermined: 

Possible Answers:

False

True

Undetermined

Correct answer:

True

Explanation:

 is the center of the circle, so  is a central angle. , so its intercepted arc  also has this measure.

 is an inscribed angle which intercepts , so

Substitute:

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