Sectors

Practice Questions

Intermediate Geometry › Sectors

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1

Find the length of the arc if the radius of a circle is and the measure of the central angle is degrees.

2

What is the sector angle, in degrees, if the area of the sector is with a given radius of ?

3

A sector in a circle with a radius of has an area of . In degrees, what is the measurement of the central angle of the sector?

4

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

5

In the figure below,. If is degrees, in degrees, what is the measure of ?

1

6

A circle graph is used to depict the results from a survey given to high school students regarding their favorite sport. The sector representing baseball measures 52 degrees. What percent of the high schoolers who took the survey prefer baseball over any other sport?

7

A sector in a circle with a radius of has an area of . In degrees, what is the measurement of the central angle for this sector?

8

A sector in a circle with a radius of has an area of . In degrees, what is the measurement of the central angle of the sector?

9

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

10

Find the area of a sector if it has an arc length of and a radius of .

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