AnswersEAP-Geometry B CRIntroduction to Circles

Central Angles Answers

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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°
2
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In circle O, and are diameters. The measure of arc DC is 50°.

Question illustration
A
40°
B
90°
C
140°
D
220°
3

Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown.

Question illustration
A
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
B
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
C
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
D
Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.
4

Segments AC and BD are diameters of circle O.

Question illustration
A
107°
B
146°
C
253°
D
287°
5

Circle B is shown. Line segments C B, D B, and E B are radii and they form 3 congruent angles.

Question illustration
A
a minor arc
B
a major arc
C
a semicircle
D
a chord
6

Which is true regarding chords and diameters of circles?

A
Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.
B
Both chords and diameters have two endpoints on a circle. Chords must intersect the center of a circle.
C
Chords have two endpoints on a circle. Diameters have one endpoint on a circle and one at the center.
D
Chords have one endpoint on a circle and one at the center. Diameters have two endpoints on a circle.
7

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

Question illustration
A
107°
B
180°
C
253°
D
270°
8

Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

Question illustration
A
3:1
B
1:3
C
2:1
D
1:2
9

Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees.

Question illustration
A
17°
B
75°
C
149°
D
211°
10

In circle O, SU is a diameter.

Question illustration
A
100°
B
108°
C
130°
D
160°

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