Working with
 Sectors and Segments

Topic Index | Geometry Index | Regents Exam Prep Center


Answer the following questions dealing with the Sectors and Segments of Circles.

(Do not assume that diagrams are drawn to scale.)
 

1.

Find the area of the dark blue sector shown at the left.  The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units.  Express answer to the nearest tenth of a square unit.

          
Choose:

0.3 sq. units
15.7 sq. units
19.7 sq. units
50.3 sq. units.
 

 

 

2.

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

Choose:

 5.2 sq. in.
 10.5 sq. in.
 31.4
sq. in.
62.8
sq. in.
 

 

 

3.

Find the area of the shaded segment of circle O to the nearest tenth of a square unit.  The radius of the circle is 6 units.  The perpendicular from O to the chord joining point A to point B measures 4 units.

Choose:

4.8 sq. units
12.4
sq. units
30.3 sq. units
48.2 sq. units

 

 

 

4.

Pizza!  Pizza!  You stop for lunch at a local pizza shop where each pizza is cut into 8 slices.  Would your hunger be better satisfied with one slice from a 16 inch pizza or two slices from a 12 inch pizza (disregarding thickness)?

Choose:

1 slice
2 slices

 

 

 

5.

 A cathedral window is built in the shape of a semicircle.  If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section?  Express answer to the nearest square foot.

Choose:

1 sq, ft.
3 sq. ft.
13 sq. ft.
26
sq. ft.

 

 


 
6.

Find the area of a segment of a circle if the central angle of the segment is 60° and the radius is 10.  Express answer to the nearest tenth of a square unit.

Choose:

9.1 sq. units
27.2
sq. units
43.3
sq. units
52.4 sq. units