Practice with
 Area of Polygons and Circles
 Topic Index | Algebra Index | Regents Exam Prep Center

 

Answer the following questions dealing with area of polygons and circles.  Grab your calculator.
 

1.

 

Find the area.

 

Choose:

 32.5 sq. units
400 sq. units
 500 sq. units
 600 sq. units 

 

 

2.

 

Find the area of the green rectangle.

 

Choose:

 30 sq. units
60 sq. units
144 sq. units
156 sq. units

 


 

3.

 
Jessica is making a circular table cloth for an art project.  She wants half of the cloth to be a plain colored fabric and half to be a print fabric.  How many square yards of each fabric (to the nearest hundredth of a yard) will she actually be using if the diameter of the cloth is 6 feet?

Choose:

 1.57 sq. yds
 1.58 sq. yds
14.13 sq. yds
14.14 sq. yds
 

 


 

4.

 Lin is planting a circular garden of tulips.  She plans to plant four different colors in equal amounts.  The garden will have a diameter of 24 feet.  How many square feet, to the nearest foot, of space will she have for each of the colors?

Choose:

 9 sq. ft.
113 sq. ft. 
226 sq. ft.
452 sq. ft.

 

 

5.

Find the area of this trapezoid.

 

Choose:

63 sq. units
180 sq. units
360 sq. units
1120 sq. units

 

 

6.

The diagram at the left shows a green piece of square carpeting.  A hole is being cut out of the carpeting for a column 6' in diameter.  How many square feet of carpeting are shown in this diagram?  Round answer to the nearest tenth of a square foot.

Choose:

108.0 sq.ft.
211.0 sq.ft.
295.7 sq.ft.
324.6 sq.ft.

 

 

7.

A yield sign has the dimensions given in the diagram.  How many square inches of material are needed to make the sign?  Round answer to the nearest tenth of a square inch.

Choose:

108.0 sq.in.
324.6 sq.in.
561.2 sq.in.
648.0 sq.in.

 

 

8.

The area of a trapezoid is 28 sq. ft.  The bases are 5 ft. and 9 ft.  What is the height of the trapezoid in feet?

 

Choose:

4 ft.
5 ft.
6 ft.
9 ft.

 

 

9.

 

 

The school band is selling pennants.  Each pennant is cut in the shape of a triangle 4 feet long and 1 foot high.  How many square feet of fabric are needed to make 200 pennants (assuming no waste)?

Choose:

100 sq.ft
200 sq.ft
400 sq.ft
800 sq.ft

 

 

10.

Find the area of parallelogram ABCD.

Choose:

504 sq. units
672 sq. units
768 sq. units
822 sq. units

 

 

11.

 

Tom plans to make a strawberry shortcake to take to a party.  The recipe calls for a 10 inch diameter round pan.  Tom only has an 8 inch square pan, a 9 inch square pan and a 10 inch square pan.  Which pan comes closest in area to the one that the recipe suggests?

Choose:

8 inch pan
9 inch pan
10 inch pan

 

 

12.


 

A 20 ft. by 15 ft. swimming pool is surrounded by a 2 ft. wide sidewalk.  A fence on the edge of the sidewalk encloses the whole pool area.

a.  What is the area in square feet inside the fence?

b.  What is the area in square feet of only the sidewalk?

 

Choose:
a.

300 sq.ft.
374 sq.ft.
456 sq.ft.

b.
156 sq.ft.
300 sq.ft.
374 sq.ft.

  

 

13.

(optional question)

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

 

 

14.

Butch, the dog, is leashed to the corner of the house when he is outdoors alone.  The leash is 20 feet long.  Find the amount of ground area available to Butch when leashed outdoors.  (Assume the corner of the house to be a right angle and the dimensions of the house to exceed 20 feet..) 

Choose:

251.3 sq.ft.
314.2 sq.ft.
628.3 sq.ft.
942.5 sq.ft.

 

 

15.


Find the number of square inches in the area of the shaded region of this square which is being intersected by two semicircles.  Leave answer in terms of .

Choose:

sq.in
 sq.in
 sq.in  
 sq.in

 

 

16.


Find the area of this figure.

Express the answer to the nearest tenth of a square inch.

Choose:

356.5 sq.in
 457.1 sq.in
 658.1 sq.in
1060.2 sq.in

 

 

17.


Find the area of this figure.

Express the answer to the nearest tenth of a square cm.

Choose:

56.5 sq.cm
 140.5 sq.cm
 310.2 sq.cm
478.2 sq.cm