Area, Perimeter and Circumference Review WS ANSWER KEY
*Round answers to the nearest tenth
Fill in each blank with the correct formula.
1.
the area of a circle:
A = 𝜋𝑟 2
2.
the area of a triangle:
A = ½ bh
3.
the area of a parallelogram:
A = bh
4.
the circumference of a circle:
C = 2𝜋𝑟 or 𝜋𝑑
Find the area and perimeter (or circumference) of each figure.
5.
6.
4 in
7.
5 ft
9 cm
8.
13 m
14 m
9 cm
10 m
6 ft
C = 25.1 in
P = 22 ft
P = 37 m
P = 36 cm
A = 50.3 in2
A = 30 ft2
A = 65 m2
A = 81 cm2
9.
13 ft
10.
10 yd
14 ft
9 yd
21 km
11.
15 ft
18 km
22 km
12.
19 km
100 cm
5 yd
P = 25 yd
P = 56 ft
P = 62 km
C = 314.2 cm
A = 22.5 yd2
A = 182 ft2
A = 189 km2
A = 7854 cm2
13. a circle with a
radius of 12 ft.
14. a rectangle with
length = 14 ft and
15. a circle with a
16. a square with a
diameter of 22 yd.
side of 10 mm
width = 17 ft
C = 75.4 ft
P = 62 ft
C = 69.1 yd
P = 40 mm
A = 452.4 ft2
A = 238 ft2
A = 380.1 yd2
A = 100 mm2
Area, Perimeter and Circumference Review
17. Suzanne is making a frame for an 8-inch by 10-inch photo. How much wood does she need for
the frame?
36 inches
18. The diameter of a quarter is 24 mm. What is the quarter’s circumference?
75.4 mm
19. The floor of our classroom is 50 feet by 75 feet. What is the area of our floor?
3750 ft2
20. Each tire on your bicycle has a diameter of 26 inches. About how far will you travel when the
tires make on complete revolution?
81.7 inches
21. Lisa is covering a rectangular table with small square tiles. It will take 32 rows of tiles with 48
tiles in each row. How many tiles are needed to cover the table?
1536 tiles
Use the figure below to answer questions 22 and 23.
8 ft
4 ft
10 ft
16 ft
22. What is the perimeter of this compound figure?
52 feet
23. What is the area of this compound figure?
128 feet2
24. Find the area of the shaded region.
25.
Find the area of the shaded region.
9 in.
10 in.
14 in.
64
in2
11 in.
10 km
20 km
85.8 km2
20 km
Area, Perimeter and Circumference Review
26. Susan makes a rectangular rug that has an area of 300 square inches and a width of 15 inches.
What is the length of the rug?
20 inches
27. What is the total length of weather stripping needed for 12 windows that each measure 90 cm by
12 cm?
2448 cm
28. The radius of a tire is 1.2 feet. How far will you travel after ten complete rotations of the tire?
75.4 feet
29. A bicycle tire rim has a diameter of 24.5 inches, and the tire is 2.25 inches thick. Find the
circumference of the outside of the tire.
91.1 inches
30. You ride a Ferris wheel that has a circumference of 108 feet. Estimate the diameter of the Ferris
wheel.
34.4 feet
31. A park is 300 ft by 500 ft. There is a 4 wide foot walking path going around the entire perimeter
of the park. The rest of the park is green space. How much green space is there in the park?
143664 ft2
32. Find the length and width of the same that is created by these ordered pairs. Then find the
perimeter and area. (4, 1), (4, -4), (-6, 1), (-6, -4)
Length: 10 units
Width: 5 units
Perimeter: 30 units
Area: 50 units2