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Degrees in Triangle and Circle

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the center of the circle circumscribed about this triangle?

a)

(6, 3)

b)

(9, 5)

c)

(6, 5)

d)

(7, 4.5)

2.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

3.

Find the value of d.

a)

115

b)

65

c)

96

d)

180

4.

What relationship guarantees that line AD is perpendicular to segment BD when constructing the line tangent to circle B that passes through point A?

a)

A line that is tangent to a circle is perpendicular to a radius of the circle.

b)

Segment DB is a chord of circle C and a radius of circle B.

c)

Triangle ADB is inscribed in circle C has one angle inscribed in circle B.

d)

<ADB is inscribed in circle C and intercepts a semicircle.

5.

Find y

a)

110

b)

35

c)

90

d)

145

6.

Find b.

a)

55

b)

35

c)

90

d)

72.5

7.

Find the length of LK

a)

24

b)

20.25

c)

17.5

d)

12.32

8.

Which word describes the circle and the point of intersection of the 3 lines?

a)

inscribed and incenter

b)

inscribed and circumcenter

c)

circumscribed and incenter

d)

circumscribed and circumcenter

9.

What do the three angles in a triangle add up to?

a)

180 degrees

b)

360 degrees

c)

90 degrees

d)

60 degrees

10.

Which of the following would be a major arc in the diagram?

a)

BC

b)

BCD

c)

CD

d)

AB

11.

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.

12.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

13.

What is π/3 radians in degrees? 

a)

30

b)

60

c)

360

d)

90

14.

How many degrees does  circle have?

a)

360 degrees

b)

2pi

c)

180 degrees

d)

pi

15.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

16.

What is 2π/3 radians in degrees? 

a)

150

b)

120

c)

180

d)

 30

17.

How big is angle b?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

18.

Find x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

19.

Solve for x. 

a)

5

b)

20

c)

40

d)

85

20.

Solve for x.

a)

88.25

b)

9.39

c)

18.8

d)

7.03