Practice Test Answers

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In circle cap y , what is m frown set over TU ?

A
100 degrees
B
106 degrees
C
118 degrees
D
82 degrees
23

On a unit circle, the vertical distance from the x -axis to a point on the perimeter of the circle is twice the horizontal distance from the y -axis to the same point. What is sine theta ?

A
the fraction with numerator 2 square root of 5 and denominator 5
B
1 fifth
C
2
D
the fraction with numerator square root of 5 and denominator 5
27

Which statements about the clock are accurate? Choose three correct answers.

A
The length of the major arc between 3 and 10 is approximately 31 point 4 inches.
B
The central angle formed when one hand points at 1 and the other hand points at 3 is 30 degrees .
C
The circumference of the clock is approximately 62 point 8 inches.
D
The length of the minor arc between 6 and 7 is approximately 5 point 2 inches.
E
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120 degrees .
28

The measure of central XYZ angle is 3 pi over 4 radians. What is the area of the shaded sector?

A
96 pi units squared
B
256 pi units squared
C
85 pi units squared
D
32 pi units squared
29

What is the approximate length of the radius, r ?

A
9 point 0 cm
B
4 point 5 cm
C
14 point 2 cm
D
28 point 3 cm
30

Which of the following are in correct order from greatest to least?

A
330 degrees , 5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2
B
pi over 2 , 330 degrees , 5 pi over 3 , 7 pi over 6 ' 2 pi over 3
C
pi over 2 , 2 pi over 3 , 7 pi over 6 , 5 pi over 3 , 330 degrees
D
5 pi over 3 , 7 pi over 6 , 2 pi over 3 , pi over 2 , 330 degrees
31

Which circle has a central angle that measures 40 degrees ?

A
Image with description A circle has a center U. Z X is a diameter, and V X is a chord. Angle V X Z is 40 degrees.
B
Image with description A circle has a center U. Z V is a chord, and Z X is a tangent line that touches the circle at Z. Angle X Z V is 40 degrees.
C
Image with description A circle has a center U. U Z and U V are the circle's radii. Angle V U Z is 40 degrees.
D
Image with description A circle has a center U. X V and X Z are the chords. Angle V X Z is 40 degrees.
33

Which values for theta have the same reference angles?

A
pi over 2 , 5 pi over 4 , 7 pi over 4
B
pi over 3 , 5 pi over 6 , 4 pi over 3
C
pi over 6 , pi over 3 , 5 pi over 6
D
pi over 4 , 3 pi over 4 , 7 pi over 4
35

What is the length of the diameter?

A
4 point 5 units
B
12 point 5 units
C
12 units
D
8 units
36

What are the measures of angles cap m and cap n ?

A
m angle cap m is equal to 119 degrees and m angle cap n is equal to 67 degrees
B
m angle cap m is equal to 61 degrees and m angle cap n is equal to 113 degrees
C
m angle cap m is equal to 113 degrees and m angle cap n is equal to 61 degrees
D
m angle cap m is equal to 67 degrees and m angle cap n is equal to 119 degrees
37

What is the measure of overarc BC ?

A
160 degrees
B
100 degrees
C
120 degrees
D
130 degrees
38

Which equation represents a circle that is concentric with the circle shown but has a radius that is twice as large?

A
open paren x minus 6 close paren squared plus open paren y minus 4 close paren squared is equal to 4
B
open paren x minus 6 close paren squared plus open paren y minus 4 close paren squared is equal to 16
C
open paren x minus 4 close paren squared plus open paren y minus 6 close paren squared is equal to 16
D
open paren x minus 4 close paren squared plus open paren y minus 6 close paren squared is equal to 4

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