Intermediate Geometry : How to find the angle for a percentage of a circle

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #11 : Sectors

If you have  of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

Correct answer:

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First we need to convert the percentage into a decimal.

If you multiply 360 by 0.80, you get the degree measure that corresponds to the percentage, which is 288.

Example Question #11 : How To Find The Angle For A Percentage Of A Circle

If you have  of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

Correct answer:

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percentage into a decimal.

If you multiply 360 by 0.44, you get the degree measure that corresponds to the percentage, which is 158.4.

Example Question #13 : Plane Geometry

If you have  of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

Correct answer:

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

First convert the percentage into a decimal.

If you multiply 360 by 0.18, you get the degree measure that corresponds to the percentage, which is 64.8.

Example Question #11 : How To Find The Angle For A Percentage Of A Circle

If you have  of a circle, what is the angle, in degrees, that creates that region?

Possible Answers:

Correct answer:

Explanation:

A full circle has 360 degrees, which means that 100% of the circle is 360 degrees.

We first need to convert the percentage into a decimal.

If you multiply 360 by 0.56, you get the degree measure that corresponds to the percentage, which is 201.6.

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