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U11 Circle Test Rvw

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are chords of the circle.

a)

right angle

b)

acute angle

c)

inscribed angle

d)

intercepted angle

2.

Segments with endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

3.

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

4.

The image shows a circle centered at point O. Angle AOB measures 50 degrees. What is the measure of angle ACB? (a)  

Choose from the below words

25 degrees

40 degrees

50 degrees

100 degrees

5.
6.

Find the value of x.

7.

Solve for x:

8.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

9.

What is the value of y?

a)

27

b)

54

c)

108

d)

540

10.

The figure shows a circle with center OO  , diameter  AC‾\overline{AC}  , and inscribed  ΔACB\Delta ACB . If  m∠ABC=90°m\angle ABC=90\degree  , m∠C=5x−2m\angle C=5x-2 and  m∠A=2x+8m\angle A=2x+8 , what is the  m∠BACm\angle BAC and  m∠BCAm\angle BCA ? 

a)

m∠BAC=12° and m∠BCA=78°m\angle BAC=12\degree\ and\ m\angle BCA=78\degree  

b)

m∠BAC=45° and m∠BCA=45°m\angle BAC=45\degree\ and\ m\angle BCA=45\degree  

c)

m∠BAC=32° and m∠BCA=58°m\angle BAC=32\degree\ and\ m\angle BCA=58\degree  

d)

m∠BAC=30° and m∠BCA=60°m\angle BAC=30\degree\ and\ m\angle BCA=60\degree  

11.

Find m∠UST.

a)

119°

b)

163°

c)

44°

d)

61°

12.

Find the measure of major arc PQ (the question mark).

a)

260°

b)

100°

c)

25°

d)

130°

13.

Find the measure of minor arc AV.

a)

55°

b)

115°

c)

85°

d)

95°

14.

Find the measure of minor arc KM.

a)

255°

b)

105°

c)

210°

d)

Cannot be determined.

15.

Find the m∠1.

a)

130⁰

b)

65⁰

c)

44⁰

d)

86⁰

16.

Solve for x.

a)

x = 32

b)

x = 23

c)

x = 30

d)

x = 18

17.

Find the measure of minor arc  AC.

a)

76°

b)

135.5°

c)

70.5°

d)

65°

18.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

19.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

20.

Which of the following is the correct equation of a circle with center at (-3, 5) and radius 7?

a)

(x+3)2+(y−5)2=49(x + 3)^2 + (y - 5)^2 = 49

b)

(x−3)2+(y+5)2=49(x - 3)^2 + (y + 5)^2 = 49

c)

(x+3)2+(y−5)2=7(x + 3)^2 + (y - 5)^2 = 7

d)

(x−3)2+(y+5)2=7(x - 3)^2 + (y + 5)^2 = 7