1. Tama – 130 Final Exam Review Fall - 2007

2. Tama – 130 Final Exam Review  The following information represents the content of the final exam.  The numbers are different, but the concepts are the same.  Use this as a review.  If you can solve these problems, you are in good shape.

3.  Geometric Terms: Parallel Lines Perpendicular Lines Vertex Adjacent angles Circumference Chord Diameter and Radius

4. Tama – 130 Final Exam Review  Type of angles: Acute Obtuse Right Straight Reflex Complementary Supplementary

5. Tama – 130 Final Exam Review  Types of Angle Applications: Transversals Alternate Interior Alternate Exterior Corresponding Central angles Inscribed angles

6. Tama – 130 Final Exam Review  Interior angles: (prob. 1)

7. Tama – 130 Final Exam Review  Trapezoids: (prob. 2) Height is 4’ Find GD

8. Tama – 130 Final Exam Review  Determine the belt length: (prob. 3)

9. Tama – 130 Final Exam Review  Finding specific angles: (prob. 4) Arc BCA = 200° Find Angle EAB

10. Tama – 130 Final Exam Review  Finding geometric distances: (prob. 5)

11. Tama – 130 Final Exam Review  Finding Areas: Area of a Cube Area of a Rectangle Area of a Parallelogram Area of a Trapezoid Area of a Triangle Area of a Circle Area of an Ellipse

12. Tama – 130 Final Exam Review  Areas of Sectors and Segments: (prob. 6) Area of the Circle Area of the Sector Area of the Triangles Area of the Segment AB = 16” CO = 6”

13. Tama – 130 Final Exam Review  Volumes: Cylinders Cones One gallon:  equals 231 cubic inches  7.5 gallons equals one cubic foot 27 cubic feet equals one cubic yard 1728 cubic inches equals one cubic foot

14. Tama – 130 Final Exam Review  Finding Arc Lengths: (prob. 7) Diameter equals 10 inches Angle BAO equals 50° Find Arc ACB

15. Tama – 130 Final Exam Review  Finding Exterior Angles: (prob. 8) Arc AC equals 70° Arc BC equals 140° Find Angle ADC

16. Tama – 130 Final Exam Review  Finding Angles with Parallel Lines: (prob. 9) Find “X” Find “Y”

17. Tama – 130 Final Exam Review  Finding Surface Areas: (prob. 10)

18. Tama – 130 Final Exam Review  Change degrees, minutes, and seconds to decimal degrees (prob. 11) i.e. 37 ° 29’ 52”  Change decimal degrees to degrees, minutes, and seconds (prob. 12) i.e. 63.7236°

19. Tama – 130 Final Exam Review  Finding Angles: (prob. 13) Find angle CAD

20. Tama – 130 Final Exam Review  Finding Angles: (prob. 14) Find angle COB

21. Tama – 130 Final Exam Review  Determine Circumferences and Arc Lengths: Circumference equals ∏ times the Diameter Circumference equals ∏ times 2 times the radius Arc length equals the circumference times the angle times divided by 360°

22. Tama – 130 Final Exam Review  Using Tangent Information to Solve Triangles: (prob. 15)  Solve for OB

23. Tama – 130 Final Exam Review  Find the area of the following figure: (prob. 16)

24. Tama – 130 Final Exam Review GOOD LUCK!

25. Tama – 130 Final Exam Review  Answers to the problems on the slides: Prob. 1…117° Prob. 2…9’ Prob. 3…168” Prob. 4…80° Prob. 5a…X = 5.25” Prob. 5b…Y = 8.5” Prob. 5c…Z = 10.5”

26. Tama – 130 Final Exam Review Prob. 6a…Area circle = 314.16 sq in Prob. 6b…Area sector = 69.81 sq in Prob. 6c…Area of Triangles = 48 sq in Prob. 6d…Area of Segment = 21.81 sq in Prob. 7…4.36” Prob. 8…35° Prob. 9a…X = 40° Prob. 9b…Y = 60°

27. Tama – 130 Final Exam Review Prob. 10…4398.24 sq ft Prob. 11…37.4978° Prob. 12…63° 43’ 25” Prob. 13…10° Prob. 14…71.57° Prob. 15…1.414” Prob. 16…7413.72 mm ²