ISEE Upper Level Math : How to find the percentage of a sector from an angle

Study concepts, example questions & explanations for ISEE Upper Level Math

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Example Questions

Example Question #221 : Geometry

Sector SOW has a central angle of . What percentage of the circle does it cover?

Possible Answers:

Correct answer:

Explanation:

Sector SOW has a central angle of . What percentage of the circle does it cover?

Recall that there is a total of 360 degrees in a circle. SOW occupies 45 of them. To find the percentage, simply do the following:

Example Question #2 : How To Find The Percentage Of A Sector From An Angle

While visiting a history museum, you see a radar display which consists of a circular screen with a highlighted wedge with an angle of . What percentage of the circle is highlighted?

Possible Answers:

Correct answer:

Explanation:

While visiting a history museum, you see a radar display which consists of a circular screen with a highlighted wedge with an angle of . What percentage of the circle is highlighted?

To find the percentage of a sector, simply put the degree measure of the angle over 360 and multiply by 100.

So, our answer is 18.06%

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