1. Angles in Circles
Segemtns in Circles
GRAB BAG
Volume
Surface Area
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2. Given the circle below with diameter , find x.

3. x=90°

4. Find the arc length and sector area of the circle below.
Show your work.
120°
Arc = ?

5. 67 ft^2 sector ft arc

6. Given a circle with the center indicated, find x.

7. x=40

8. Given a circle with two secants as shown in the diagram
Given a circle with two secants as shown in the diagram. Find the value of the arc designated by x.

9. x=25

10. Given the circle in the diagram with the indicated center
Given the circle in the diagram with the indicated center. Find the measure of the arc marked x.

11. x=55

12. Given: Circle O with diameter , and . Find .

14. In the diagram, secant intersects circle O at D, secant intersects circle O at E, AE=4, AC=24 and AB=16. Find AD.

15. AD=6

16. In the given diagram of the circle below with radius 5
In the given diagram of the circle below with radius 5. Find the length of the segment labeled x.

17. x=4

18. Given the circle in the diagram with two intersecting chords
Given the circle in the diagram with two intersecting chords. Find the length x. 9)

19. x=8

20. Given: Tangent , diameter. , and secant in circle O
Given: Tangent , diameter , and secant in circle O. What two sets of congruent angles can be used to prove ?

21. and

22. Find the measures of angles 1 and 2 without using a protractor.
The picture is NOT drawn to scale. 1
730 2 3

23. Measure of angle 1: 107 degrees Measure of angle 2: 73 degrees

24. Lines w, x, y, and z are shown below.
What are 2 lines that appear to be perpendicular to each other?

25. w and z or x and z

26. Classify each angle as acute, obtuse or right.
Classification__________

27. Acute

28. A cathedral window is built in the shape of a semi circle
A cathedral window is built in the shape of a semi circle. If the window is to contain 3 stained glass sections of equal size, what is the area of each section to the nearest square foot?
13)

29. 3 ft2

30. Classify this triangle by its sides and by its angles.
5 cm
Classification by sides:_____________
Classification by angles:____________
3 cm
4 cm

31. sides: scalene angles: right

32. Matt has a rectangular prism with the dimensions shown below.
What is the volume, in cubic centimeters, of the rectangular prism?
Show or explain how you got your answer.

33. 200 cm3

34. Find the area of the circle below:

35. 181.4 m2

36. Find the volume of the right rectangular prism.
                                     

37. The volume of the prism is 680 ft3

38. Find the volume of the prism

39. A. 17m^3

40. Find the volume of the right rectangular prism.

41. The volume is 288 in3

42. Obtain the area of the given triangle.

43. area is 90 m2

44. Yes; it folds into a cube.
Decide whether the given figure is a net. If the figure is a net, describe the shape it creates.
If it is not a net, tell what goes wrong. a.
Yes; it folds into a cube. b.
No; it has more faces than the number of faces required to fold into a cube. c.
No; it has one face less than the number of faces required to fold into a cube. d.
No; the sides of the figure do not match up.

45. B: No; it has more faces than the number of faces required to fold into a cube.

46. Show or explain how you got your answer.
What is the total surface area, in square centimeters, of the rectangular prism?
Show or explain how you got your answer.

47. 220 cm2

48. Calculate the surface area of the given solid
Calculate the surface area of the given solid. Round to the nearest unit, if necessary.

49. 228 cm2

50. Calculate the surface area of the given solid
Calculate the surface area of the given solid. Round to the nearest tenth.

51. 34.8 ft2