AnswersMath II CR S2 RS3Equation of a Circle

Equation of a Circle — Unit test Answers

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1
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Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.

Question illustration
A
32
Option A
B
85
Option B
C
96
Option C
D
256
Option D
2
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Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees.

Question illustration
A
34°
B
45°
C
68°
D
73°
3

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°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
4

Consider circle C with angle ACB measuring radians.

Question illustration
A
6 inches
B
12 inches
C
18 inches
D
24 inches
5

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

A
8
B
9
C
10
D
12
6

Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees. Point E is on the second arc. Arc F H has a measure of x degrees.

Question illustration
A
130°
B
230°
C
260°
D
310°
7

Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.

Question illustration
A
106°
B
108°
C
148°
D
212°
8

Points D, E, and F are on circle C and EF ≅ DF.

Question illustration
A
14°
B
19°
C
26°
D
38°
9

Line EF is tangent to circle G at point A.

Question illustration
A
90°
B
95°
C
190°
D
195°
10

Question text not available

A
Circle C is shown. Line segment A C is a radius with length 6 centimeters.
Option A
B
Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Option B
C
Circle C is shown. Line segment A C is a radius with length 8 centimeters.
Option C
D
Circle C is shown. Line segment A C is a radius with length 9 centimeters.
Option D
11

In circle O, and are diameters. Arc ED measures 17°.

Question illustration
A
107°
B
180°
C
253°
D
270°
12

Which circle has a central angle that measures 40°?

A
Circle U is shown. Line segment Z X is a diameter. Line segment V X is a secant. Angle V X Z is 40 degrees.
Option A
B
Circle U is shown. Line segments U V and U Z are radii. Angle V U Z is 40 degrees.
Option B
C
Circle U is shown. Line segment Z V is a secant. Line segment Z X is a tangent. Angle X Z V is 40 degrees.
Option C
D
Circle U is shown. Line segments X V and X Z are secants. Angle V X Z is 40 degrees.
Option D
13

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.
14

Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

Question illustration
A
82°
B
100°
C
106°
D
118°
15

UV and RV are secant segments that intersect at point V.

Question illustration
A
1 unit
B
1 units
Option B
C
2 units
Option C
D
3 units

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