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WorksheetsQZ Area, Circumference, Central Angles and Arcs
Total questions: 35
Worksheet time: 3hrs 55mins
Name
Class
Date
1.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees.
d)
It measures less than 180 degrees.
2.
Which is true of a major arc?
a)
Forms half a circle.
b)
Forms a whole circle.
c)
Measures greater than 180 degrees.
d)
Measures less than 180 degrees.
3.
Name a minor arc
a)
AD
b)
ADB
c)
AB
d)
CD
4.
Name a major arc.
a)
ABD
b)
BDA
c)
BCD
d)
DA
5.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
6.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
7.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
8.
What is the measure of arc AXB
a)
50
b)
100
c)
180
d)
260
9.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
10.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
11.
If the measure of arc ABC = 210°, what is the measure of arc AC?
a)
150°
b)
100°
c)
210°
d)
105°
12.
Solve for x.
a)
5
b)
20
c)
40
d)
85
13.
Solve for x.
a)
x = 6.45
b)
x = 8
c)
x = 12.6
d)
x = 7
14.
Solve for x.
a)
x = 11
b)
x = 6
c)
x = 8
d)
x = 9
15.
a)
a
b)
b
c)
c
d)
d
16.
Select the names of minor arcs of Circle O.
a)
b)
c)
d)
e)
17.
Select the names of major arcs of Circle O.
a)
b)
c)
d)
e)
18.
Select the names of semicircles of Circle O.
a)
b)
c)
d)
e)
19.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
20.
What is the radius of this circle?
a)
18in
b)
36in
c)
9in
d)
8in
21.
A ball has a circumference of 9.42 cm. What is the diameter?
a)
29.5788 cm
b)
59.1576 cm
c)
3 cm
d)
1.5 cm
22.
Steven purchases a bowl. The diameter of the bowl is 14 cm.
What is the distance around the bowl?
What is the distance around the bowl?
a)
21.98 cm
b)
43.98 cm
c)
87.96 cm
d)
7 cm
23.
What is the diameter?
a)
8cm
b)
16cm
c)
10cm
d)
4cm
24.
A cruise ship has a large, circular window. It has a diameter of 6 meters. How many square meters of glass is the window made of?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.27 m2
25.
Find the radius of a circle if the area is 201.1 mi2
a)
10 mi
b)
8mi
c)
20 mi
d)
5mi
26.
If you are going to paint the entire center circle of a basketball court, do you need to know the area or circumference of the circle?
a)
Area
b)
Circumference
c)
Neither
27.
The radius of a circle is 6.5 inches.
Find the circumference of the circle.
a)
132.7 in
b)
40.8 in
c)
20.4 in
d)
572.3 in
28.
What is the area of this circle?
a)
50.27 cm2
b)
78.23 cm2
c)
98.12 cm2
d)
201.06 cm2
29.
What is the area of a circle with a diameter of 12cm?
a)
452.39cm2
b)
139.12cm2
c)
113.1cm2
d)
84.23cm2
30.
The homeowners association wants to enclose a circular playground in a fence. The need to find the amount of fencing they need to purchase. Will they need the area or circumference of the playground?
a)
area
b)
circumference
c)
neither
31.
Danielle wants to make a cookies for 3 friends. The radius of a cookie is 5 inches. If she wants to ice ALL 3 of the cookies, how many square inches of cookies must she cover with icing?
a)
47.1 in2
b)
235.5 in2
c)
78.5 in2
d)
15.7 in2
32.
A DVD has a diameter of 15 millimeters. Which equation would help you determine the distance around the DVD?
a)
C = 15π
b)
A = π7.52
c)
A = 15 ÷ π
d)
C = 7.5π
33.
Jake's cow is tied to a beanstalk with a piece of rope that is 15ft long. What is the area of the circle in which the cow can graze?
a)
47.1 ft.
b)
176.7 ft²
c)
706.9 ft²
d)
94.2 ft
34.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
35.
Does this picture show the diameter or radius of a circle?
a)
Diameter
b)
Radius
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