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Geometry Area Review

Total questions: 40

Worksheet time: 1hrs 17mins

Name
Class
Date
1.
a)
72 square inches
b)
144 square inches
c)
288 square inches
d)
576 square inches 
2.

A regular heptagon has an apothem of 9cm and each side length is 8.7cm. What is the area of polygon?

a)

234.9 square centimeters

b)

274.1 square centimeters

c)

440 square centimeters

d)

220.8 square centimeters

3.
What is the missing length if the perimeter is 30cm?
a)
12cm
b)
13cm
c)
30cm
d)
5cm
4.
A perimeter of a rectangle is 20 meters.  The width is 4 meters.  What would the length be?
a)
6 m
b)
13 m
c)
15 m
d)
5 m
5.
Find the area of the parallelogram.
a)
18 units
b)
18 units²
c)
9 units
d)
9 units²
6.
Find the Area of this triangle
a)
19.8 km2
b)
37.8 km2
c)
18.9 km2
d)
35 km2
7.
Find the area of the figure.
a)
10 cm2
b)
24 cm2
c)
12 cm2
d)
20 cm2
8.
The area of a trapezoid is 0.84 ft2, if one base is 1.1ft and the second base is 0.3ft, what is the height of the trapezoid?
a)
1.6 ft
b)
2 ft
c)
.9 ft
d)
1.2 ft
9.

Find the area of a kite that has the diagonals of 8.4u and 6u.

a)

25.2 u2

b)

50.4 u2

c)

2520 u2

d)

5040 u2

10.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?
a)
c = 15π
b)
C = 2π15
c)
c = 15 ÷ π
d)
c = 7.5 π
11.

Find the area

a)

234.9 in2

b)

274.1 in2

c)

440 in2

d)

220.8 in2

12.
Find the area:
a)
24 in2
b)
12 in2
c)
6 in2
d)
3.5 in2
13.

How many square meters is in the area of this figure?

a)

19.5

b)

78

c)

39

d)

27

14.
Find the area:
a)
248.4 cm2
b)
124.2 cm2
c)
62.1cm2
d)
22.7 cm2
15.
What is the area of this figure?
a)
52 square centimeters
b)
36 centimeters
c)
57 square centimeters
d)
40 square centimeters
16.

What is the area of this circle?

a)

452.39 cm2

b)

139.12 cm2

c)

113.1 cm2

d)

84.23 cm2

17.
Jose made the following composite shape using a rectangle and a trapezoid.  What is the total area of the composite shape?
a)
64 ft2
b)
88 ft2
c)
110.4 ft2
d)
76 ft2
18.
Determine the area of the composite figure shown below.
a)
168 centimeters squared 
b)
98 centimeters squared 
c)
84 centimeters squared 
d)
70 centimeters
19.
Find the area of the figure below.
a)
180 square yds
b)
90 square yds
c)
84 square yds
d)
168 square yds
20.

find the area

a)

352 cm2

b)

88 cm2

c)

176 cm2

d)

44 cm2

21.

Find the area of the triangle.

a)

8.2 in2

b)

16.4 in2

c)

4.1 in2

d)

2 in2

22.
the area of a triangle is 14.245m2.  If the height is 3.7 m, what is its base length? 
a)
3.85 m
b)
15.4 m
c)
7.7 m
d)
6.2 m
23.
Find the sector area of a circle with a radius of 17units and a central angle measure of 900. 
a)
31.8 u2
b)
227.0 u2
c)
106.8 u2
d)
183. 4 u2
24.
 What is the arc length of a circle with a radius of 11 units and a central angle measure of 2100?
a)
40.3 units
b)
36.8 units
c)
52.1 units
d)
60 units
25.
What is the arc length of a circle with a radius of 10cm and a central angle measure of 1500?
a)
26.2 cm
b)
99 cm
c)
117.8 cm
d)
50.5 cm
26.

What is the arc length of a circle with a radius of 6in and a central angle measure of 2250?

a)

42.1 in

b)

38.5 in

c)

28.3 in

d)

23.6 in

27.
 What is the arc length of a circle with a radius of 6ft and a central angle measure of 2700?
a)
11.92 ft
b)
17.4 ft
c)
28.3 ft
d)
25.7 ft
28.
Find the sector area of a circle with a radius of 8m and a central angle measure of 1650. 
a)
19.6m2
b)
92.2m2
c)
75.4m2
d)
246.3m2
29.
Find the sector area of a circle with a radius of 10in and a central angle measure of 2850. 
a)
55.5in2
b)
196.8in2
c)
224.5in2
d)
248.7in2
30.
Find the sector area of a circle with a radius of 12yd and a central angle measure of 600. 
a)
123.5 yd2
b)
75.4 yd2
c)
66.3 yd2
d)
93.7 yd2
31.
Find the circumference of a circle if the area is 30.1 in2.
a)
19.5 in
b)
39 in
c)
9.25 in
d)
21.4 in
32.
Find the circumference of a circle if the area is 314.2 u2.
a)
58.7 u
b)
69.7 u
c)
62.8 u
d)
42.3 u
33.
Find the circumference of a circle if the area is 105.7 mm2.
a)
74.6 mm
b)
36.4 mm
c)
41.3 mm
d)
47.1 mm
34.
Find the diameter of a circle if the area is 452.4 in2.
a)
15 in
b)
22.8 in
c)
24 in
d)
13.9 in
35.
Find the diameter of a circle if the area is 21.2 cm2.
a)
12.2 cm
b)
10.4 cm
c)
6.1 cm
d)
5.2 cm
36.
Find the diameter of a circle if the area is 314.2 u2.
a)
5 u
b)
10 u
c)
20 u
d)
40 u
37.
In a regular hexagon a=8 inches and each side is 9.2 inches.  What is the area of the hexagon?
a)
220.8 in2 
b)
110.4 in2 
c)
300.6 in2 
d)
150.3 in2 
38.

In a regular octagon a=8.3 and the perimeter is 55.2 ft. What is the area of the octagon?

a)

220.3 ft2

b)

230.1 ft2

c)

286.6 ft2

d)

487.1 ft2

39.

A regular nonagon has an area of 396u2 and each side is 8u long. What is the length of the apothem?

a)

5.5u

b)

12.4u

c)

11u

d)

9u

40.

A regular pentagon a=12.9in and area of 606.3in2. What is the length of one side of the pentagon?

a)

32.25in

b)

37.6in

c)

18.8in

d)

16.4in

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