WorksheetsAll Angles and Arcs in a Circle
Total questions: 21
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
What is the m∠U?
a)
38⁰
b)
19⁰
c)
76⁰
d)
90⁰
2.
What is m∠RST?
a)
86°
b)
43°
c)
172°
d)
90°
3.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
4.
Find m∠UST.
a)
119°
b)
163°
c)
44°
d)
61°
5.
Find the measure of major arc PQ (the question mark).
a)
260°
b)
100°
c)
25°
d)
130°
6.
Find the measure of minor arc AV.
a)
55°
b)
115°
c)
85°
d)
95°
7.
Find the measure of minor arc AC.
a)
76°
b)
135.5°
c)
70.5°
d)
65°
8.
Find the measure of minor arc KM.
a)
255°
b)
105°
c)
210°
d)
Cannot be determined.
9.
What is the measure of the angle formed between the hands of the clock?
a)
30
b)
90
c)
120
d)
150
10.
Find the measure of the indicated arc or angle, in degrees:
a)
42
⁰
⁰
⁰
⁰
⁰
⁰
b)
51
c)
36
d)
45
11.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
12.
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.
a)
1 sq. ft
b)
13 sq. ft
c)
3 sq. ft
d)
26 sq. ft
13.
Find the area of the shaded sector
a)
173.42 cm2
b)
212.06 cm2
c)
237.50 cm2
d)
not enough information
14.
Find the area of the shaded sector of the circle.
a)
b)
c)
d)
15.
When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.
a)
40
b)
35
c)
55
d)
69
16.
Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
17.
Which is the correct equation to find m<KLM?
a)
x = 1/2(140 - 66)
b)
x = 1/2(140+66)
c)
66 = 1/2(140 - x)
d)
66 = 1/2(140 + x)
18.
Inscribed Angle
a)
A
b)
B
c)
C
d)
D
19.
4.
a)
123°
b)
57°
c)
132°
d)
66°
20.
a)
240
b)
230
c)
205
d)
255
21.
a)
12
b)
11
c)
0
d)
5
100 %
