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Unit 8 Test Review - Circles

Total questions: 17

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

2. measure of arc ST

a)

267

b)

21

c)

93

d)

108

e)

72

2.

2. measure of angle UXV

a)

267

b)

21

c)

93

d)

108

e)

72

3.

In Circle O, find x and the m<A

a)

x= 35; m<A= 180

b)

x= 90; m<A= 180

c)

x= 35; m<A= 90

d)

x= 90; m<A= 90

4.
a)

(x3)2 + (y4)2 = 169\left(x-3\right)^2\ +\ \left(y-4\right)^2\ =\ 169

b)

(x4)2 + (y4)2 = 13\left(x-4\right)^2\ +\ \left(y-4\right)^2\ =\ 13

c)

(x13)2 + (y4)2 = 3 \left(x-13\right)^2\ +\ \left(y-4\right)^2\ =\ 3\

d)

(x4)2 + (y3)2 = 13\left(x-4\right)^2\ +\ \left(y-3\right)^2\ =\ 13

5.
a)

55

b)

110

c)

734\frac{73}{4}

d)

152\frac{15}{2}

6.
a)

(x+5)2 + (y+3)2 = 29\left(x+5\right)^2\ +\ \left(y+3\right)^2\ =\ 29

b)

(x5)2 + (y+3)2 = 29\left(x-5\right)^2\ +\ \left(y+3\right)^2\ =\ 29

c)

(x5)2 + (y3)2 = 29\left(x-5\right)^2\ +\ \left(y-3\right)^2\ =\ -29

d)

(x5)2 + (y+3)2 = 29\left(x-5\right)^2\ +\ \left(y+3\right)^2\ =\ -29

7.

Determine if the point (4.1) lies on the circle with the following equation: (X5)2+ (y+3)2 = 29\left(X-5\right)^2+\ \left(y+3\right)^2\ =\ 29  

a)

Yes 29 = 29

b)

No  17  2917\ \ne\ 29  

8.
a)

No; Radius = 20 mi; friend = 21.2 mi

b)

Yes; Radius = 20 mi; friend = 19 mi

c)

No; Radius = 20 mi; friend = 23.7 mi

d)

Yes; Radius = 20 mi; friend = 17.2 mi

9.
a)

Radius = 12; Center = (5, -3)

b)

Radius = 144; Center = (5, -3)

c)

Radius = 5; Center = (5, 12)

d)

Radius = 144; Center = (-5, 3)

10.
a)

12

b)

18

c)

6

d)

2

11.
a)

180

b)

20

c)

90

d)

21

12.
a)

90

b)

203\frac{20}{3}

c)

25

d)

10

13.
a)

x=4 Arc EF = 4

b)

x=8; Arc EF = 28

c)

x=7; Arc EF = 22

d)

x=3/55; Arc EF =90

14.
a)

x=29; y=124

b)

x=129; y=124

c)

x=124; y=29

d)

x=124; y=129

15.

Find x

a)

10

b)

5

c)

18

d)

9

16.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

17.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95