Tama – 130 Final Exam Review

Tama – 130 Final Exam Review

Fall - 2007


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.

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


Type of angles: Acute Obtuse Right Straight Reflex Complementary Supplementary


Types of Angle Applications: Transversals Alternate Interior Alternate Exterior Corresponding Central angles Inscribed angles


Interior angles: (prob. 1)

145

95

59

"X"

62


Trapezoids: (prob. 2) Height is 4’ Find GD

6'

10'

A

E

B C

F

DG


Determine the belt length: (prob. 3)

62.0 inches

ø 14 inø 14 in.


Finding specific angles: (prob. 4) Arc BCA = 200° Find Angle EAB

EA

D

BC


Finding geometric distances: (prob. 5)

ø 4"

ø 6.5""X"

"Y"

"Z"P


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


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”

A B

O

C

80


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


Finding Arc Lengths: (prob. 7) Diameter equals 10 inches Angle BAO equals 50° Find Arc ACB A B

O

C


Finding Exterior Angles: (prob. 8) Arc AC equals 70° Arc BC equals 140° Find Angle ADC

A

B

CD


Finding Angles with Parallel Lines: (prob. 9) Find “X” Find “Y”

120

140

A

B

C

D

E

F

G

H

"X"

"Y"


Finding Surface Areas: (prob. 10)

180'

160'

120'


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°


Finding Angles: (prob. 13) Find angle CAD

88

18

28

A B

C

DE


Finding Angles: (prob. 14) Find angle COB

A C B

O

63.43°

135.00°


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°


Using Tangent Information to Solve Triangles: (prob. 15)

Solve for OB

4.00"

3.00"

R 1.00"

A

B

O

C

D


Find the area of the following figure: (prob. 16)

120.00 mm

40.00 mm

70.00 mm45.00°

40.00 mm


GOOD LUCK!


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”

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°

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 mm²

Tama – 130 Final Exam Review

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