Geo Unit 6 Final Exam Review

​Unit 6 Geo Final Review

By Darryl Padgett

Inscribed angles:

The measure of the inscribed angle is half the angle of the central angle (remember that central angles and intercepted arcs have the same measure).

Fill in the Blank

Solve for x. Just type in the numeric value.

Multiple Choice

Solve for x.

Hint, find arc YZ and add all of the arcs and set them equal to 360.

• 37.5

• 11

• 118

• 15

Fill in the Blank

Solve for x and z;

enter answer as (xvalue, zvalue)

i.e. (2,20) or (2, 20)

Multiple Choice

Solve for x. 

• 5
• 20
• 40
• 85

Multiple Choice

What is x?

• 15

• 23

• 2

• 92

Multiple Choice

Find $$\angle KLJ$$

• $$35\degree$$

• $$32\degree$$

• $$49\degree$$

• $$50\degree$$

Multiple Choice

Find arc YX

• $$43\degree$$

• $$69\degree$$

• $$57\degree$$

• $$60\degree$$

Multiple Choice

Find a and b.

• a=74 degrees
  b=93 degrees
• a=93 degrees
  b=74 degrees
• a=87 degrees
  b=106 degrees
• a=106 degrees
  b=87 degrees

Multiple Choice

What is the area of the shaded sector?

• 28.27 in²

• 113.04 in²
• 339.29 in²
• None of the above

Multiple Choice

Find the length of the bold arc. Write your answer in terms of $$\pi$$ .

• 5688π ft
• 15.8π ft
• 150.4π ft
• 54,150 ft

Evaluate Cosine

Signs of Sin, Cos and Tan in Each Quadrant  ​

​What is a Quadrant?

Each of the 4 quarters of a circle

• Quadrants of a circle are numbered

  going counter clockwise​

• The quadrant determines whether

  the x and y values are positive

  or negative​

Using the Unit Circle

• To use the Unit Circle to evaluate cosine, sine, or tangent we use the coordinates of the point of intersection between the terminal side of the angle and the Unit Circle.

• The x-coordinate of the point is equal to the cosine of the angle.

• The y-coordinate of the point is equal to the sine of the angle.

• To find the tangent of an angle you take the y-coordinate/x-coordinate.

Multiple Choice

Evaluate cos(225°)

• $$-\frac{\sqrt{2}}{2}$$

• $$\frac{\sqrt{2}}{2}$$

• $$-\frac{\sqrt{3}}{2}$$

• $$-\frac{1}{2}$$

Multiple Choice

Evaluate  $$\sin\left(\frac{\pi}{2}\right)$$  

• $$-\frac{1}{2}$$

• $$\frac{1}{2}$$

• $$\frac{\sqrt{3}}{2}$$

• $$-1$$

• $$1$$

Multiple Choice

Evaluate cos(-135°)

note travel counter clockwise

• $$-\frac{\sqrt{2}}{2}$$

• $$\frac{\sqrt{2}}{2}$$

• $$-\frac{\sqrt{3}}{2}$$

• $$-\frac{1}{2}$$

Multiple Choice

Find the value of x.

• 2

• 4

• 6

• 8

Multiple Choice

What is the center and radius for a circle with the equation:

(x - 4)² + (y + 2)² = 25

• C:(4, -2), r = 5

• C:(-4, 2), r = 5

• C:(4, -2), r = 25

• C:(-4, 2), r = 25

Multiple Choice

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Multiple Choice

What is the value of x?

• $$7$$

• $$14\sqrt[]{3}$$

• $$14$$

• $$\frac{7\sqrt[]{3}}{2}$$ $$.$$

• $$None\ of\ these$$

Multiple Choice

What is the value of x?

• $$5\sqrt[]{2}$$

• $$10$$

• $$5$$

• $$5\sqrt[]{6}$$

• $$None\ of\ these$$