AnswersGeometryCircles

Practice Test Answers

15 verified answers
1
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What is the length of the diameter?

A
8 units
B
12 units
C
4 point 5 units
D
12 point 5 units
2
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Which circle has a central angle that measures 40 degrees ?

A
Image with description A circle has a center U. X V and X Z are the chords. Angle V X Z is 40 degrees.
B
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.
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. 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.
3

A circular table top has a radius of 24 inches. What is the area of the table top, to the nearest square inch? Use 3 point 1 4 for pi

A
151 in. squared
B
1809 in. squared
C
7235 in.2
D
75 in. squared
4

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm squared and 155 cm squared Which circle could represent the base of the vase? Use 3 point 1 4 for pi

A
Image with description Circle C is shown. Line segment A C is a radius with length 8 centimeters.
B
Image with description Circle C is shown. Line segment A C is a radius with length 7 centimeters.
C
Image with description Circle C is shown. Line segment A C is a radius with length 9 centimeters.
D
Image with description Circle C is shown. Line segment A C is a radius with length 6 centimeters.
5

Which circle shows overarc AB that measures 60 degrees ?

A
Image with description A circle has a center O. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
B
Image with description A circle has a center O. AO and BO are two radii on the circle. Angle A O B is 60 degrees.
C
Image with description A circle has a center O. A Y is a chord. B Y is a diameter. Angle A Y B is 60 degrees.
D
Image with description A circle has a center O. A B is a chord. A tangent is drawn to the circle that touches the circle at A. The angle between the tangent line and the chord is 60 degrees.
6

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180 degrees .
B
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
C
Each angle measure is equal to the measure of the arc it intercepts.
D
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
7

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

A
m angle cap m is equal to 67 degrees and m angle cap n is equal to 119 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 119 degrees and m angle cap n is equal to 67 degrees
D
m angle cap m is equal to 113 degrees and m angle cap n is equal to 61 degrees
8

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

A
118 degrees
B
106 degrees
C
100 degrees
D
82 degrees
10

What is the value of y ?

A
2
B
8
C
4
D
6
11

Statements Reasons 1. circle cap o ; angle cap A intercepts overarc BC ; angle cap d intercepts overarc BC 1. given 2. m angle cap A is equal to 1 half times open paren m overarc BC close paren 2. ? 3. m angle cap d is equal to 1 half times open paren m overarc BC close paren 3. ? 4. m angle cap A is equal to m angle cap d 4. substitution property 5. angle cap A is congruent to angle cap d 5. definition of congruent angles Two statements are missing reasons. What reason can be used to justify both statements 2 and 3 ?

A
angle formed by a tangent and a chord is half the measure of the intercepted arc.
B
inscribed angles theorem
C
central angle of a triangle has the same measure as its intercepted arc.
D
third corollary to the inscribed angles theorem
12

What is the measure of overarc BC ?

A
100 degrees
B
130 degrees
C
120 degrees
D
160 degrees
13

What is the measure of angle ADM ?

A
45.0 degrees
B
67.5 degrees
C
30.0 degrees
D
22.5 degrees
14

What is the approximate length of the radius, r ?

A
9 point 0 cm
B
14 point 2 cm
C
4 point 5 cm
D
28 point 3 cm
15

What is the measure of angle CDF ?

A
26 degrees
B
19 degrees
C
38 degrees
D
14 degrees
16

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

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

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