Infinite Geometry - HW 7: Test # 1 Review

Geometry

Name___________________________________ ID: 1

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HW 7: Test # 1 Review

Date________________ Period____

Find the measure of the arc or angle indicated. 1)

2) Find mQP

G

R F 12x + 3

V

60 °

P

?

Q E 26x - 6

Solve for x. 3) F 58 °

11x - 1

G

H

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. 4) mHJ

5) mFHG I

x + 146 J 100°

H

H 95°

G

K L

x + 46 F

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Solve for x. Assume that lines which appear to be diameters are actual diameters. 6) 8x - 7

15x - 5

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. 7)

8) Find mBD

R

15x + 10 S

C

245 °

?

B

T

26x + 6

D

61x + 6

Solve for x. Assume that lines which appear tangent are tangent. 9)

10)

K 3x + 4

10

8

L

x

9

65 ° J M 133 °

11)

12) 12 x 12

18

15 x 10

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Find the area of each. Use your calculator's value of p . Round your answer to the nearest tenth. 13)

14)

16 m 5 ft

15) circumference = 20.7 yd

Find the circumference of each circle. Use your calculator's value of p . Round your answer to the nearest tenth. 16)

17) 10 m

10.6 yd

18) area = 201.1 km²

Find the diameter of each circle. Use your calculator's value of p . Round your answer to the nearest tenth. 19) circumference = 55.3 m

Find the length of each arc. Round your answers to the nearest tenth.

Find the area of each sector. Round your answers to the nearest tenth.

20)

21) 270°

60° 13 cm 15 m

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Determine if line AB is tangent to the circle. 22)

B

Find the segment length indicated. Assume that lines which appear to be tangent are tangent. 23)

19 11.4

?

A

15 7.6

8

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

Solve for x. Assume that lines which appear to be tangent are tangent. 25)

24) 9.3

14

7x + 6

11.6

9x - 2

Find the angle measure indicated. Assume that lines which appear to be tangent are tangent.

Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.

26) 27) Find FV 36 ° T

?

9 x+1

6 S

F

U

x-1 V

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Answers to HW 7: Test # 1 Review (ID: 1) 1) 30° 5) 320° 9) 10 13) 78.5 ft² 17) 31.4 m 21) 530.1 m² 25) 4

2) 150° 6) 9 10) 7 14) 201.1 m² 18) 50.3 km 22) Tangent 26) 72°

3) 3 7) 65° 11) 15 15) 34.1 yd² 19) 17.6 m 23) 17 27) 4

4) 155° 8) 110° 12) 8 16) 66.6 yd 20) 13.6 cm 24) 69.8

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