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Unit 8 Circles Part 1 Retake ASSIGNMENT

Total questions: 18

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

Find the measure of <BAC

a)

52

b)

26

c)

104

d)

25

2.

AB is tangent to circle O at B. Find the length of the radius r. Round to the nearest tenth if necessary. The

diagram is not to scale.

a)

4.8

b)

2.4

c)

3.9

d)

5.6

3.

JK, KL, and LJ are all tangent to O (not drawn to scale). If JA = 7, AL = 15, and CK = 13, find the perimeter of triangle JKL.

a)

50

b)

60

c)

70

d)

80

4.

CD = 58, OM = 20, and ON = 17. Find FN


Round to the nearest hundredth

a)

40.65

b)

31.25

c)

8.95

d)

30.85

5.

Given: m<X = 130; WZ is congruent to YZ; m<Y = 100. Find the following measures.

a)

measure of minor arc WX = 60

measure of minor arc WZ = 50

m<Z = 50

m<W = 90

b)

measure of minor arc WX = 70

measure of minor arc WZ = 30

m<Z = 50

m<W = 80

c)

measure of minor arc WX = 30

measure of minor arc WZ = 70

m<Z = 80

m<W = 50

d)

measure of minor arc WX = 80

measure of minor arc WZ = 70

m<Z = 50

m<W = 60

6.

Find the measure of each variable if m<A = 22 and measure of arc BC = 91. Figure not drawn to scale.

a)

x = 47

y = 111

b)

x = 57

y = 101

c)

x = 67

y = 110

d)

x = 47

y = 180

7.

Find the value of x if arcBC = 120 and arcAD = 160. Figure not drawn to scale.

a)

x = 30

b)

x = 40

c)

x = 50

d)

x = 60

8.

Find the perimeter of the triangle.

a)

65

b)

26

c)

67

d)

62

9.

Solve for the missing variables.

a)

140

b)

210

c)

360 - x

d)

110

10.

Find the value of x.

a)

6

b)

3

c)

4

d)

8

11.

Solve for x.

a)

5

b)

8

c)

10

d)

4

12.

Solve for x.

a)

7

b)

8

c)

9

d)

12

13.

Find the diameter of the circle (not drawn to scale). BC = 17 and DC = 24


Round to the nearest hundredth.

a)

16.88

b)

15.92

c)

17.01

d)

16.24

14.

Solve for AB

a)

9

b)

10

c)

8

d)

4

15.

Find the value of x.

a)

218

b)

76

c)

152

d)

142

16.

Find the value of x and y?

a)

x = 132.5

y = 65

b)

x = 75

y = 40

c)

x = 122.5

y = 75

d)

x = 132.5

y = 40

17.

Find the values of x, y, and z.

a)

x = 27

y = 101

z = 52

b)

x = 101

y = 52

z = 27

c)

x = 52

y = 52

z = 101

d)

x = 110

y = 29

z = 51

18.

Determine which of the following are true. There may be more than one correct answer.

a)

The equation of a circle (x-h)^2 + (y-k)^2 = r^2

b)

The diameter extends from the center to a point on the circle.

c)

A tangent to a circle is perpendicular to the radius.

d)

A chord is a segment with endpoints on a circle.