# Circle and Pic

Topics: Circle, Line segment, Angle Pages: 6 (1249 words) Published: May 1, 2013
Circles Study Guide

1. [pic]*Not drawn to scale.
If the circle above has a circumference of 54 feet and the length of arc Q is 3 feet, then what is the measure of [pic]COA? [pic]A.45°
[pic]B.36°
[pic]C.20°
[pic]D.60°
2. [pic]
In the circle above the length of arc BC is 3 cm, [pic]BOC = 34°, and [pic]AOB = 68°. What is the length of arc AB?
[pic]A.21 cm
[pic]B.4 cm
[pic]C.10 cm
[pic]D.6 cm

3. Given a circle with center B and [pic]ABC = 72°, determine the measure of [pic]AKC. [pic]
[pic]A.144°
[pic]B.36°
[pic]C.18°
[pic]D.72°
4. [pic]
In the picture above, point O is the center of the circle and the line passing through the points A and B is a tangent line to the circle. If the length of line segment OA is 2 mm and is equal to the length of line segment AB, then what is the length of line segment OB? [pic]A.2

[pic]B.3[pic]2
[pic]C.1[pic]3
[pic]D.2[pic]2
5. [pic]*Not drawn to scale.
In the circle above, [pic]COA = 18°, and arc Q = 6 inches. What is the length of arc R? [pic]A.76 inches
[pic]B.95 inches
[pic]C.114 inches
[pic]D.133 inches
6. [pic]*Not drawn to scale.
In the circle above the measure of arc Q is 5[pic] inches and [pic]COA = 120°.

What is the radius of the circle shown above?
[pic]A.7.5 inches
[pic]B.6 inches
[pic]C.3 inches
[pic]D.9 inches
7. [pic]Which of the following line segments represents a chord in the picture? [pic]A.line segment BO
[pic]B.line segment AO
[pic]C.line segment DE
[pic]D.line segment FG
8. [pic]
The area of circle O shown above is 9[pic] cm2. What is the length of line segment AB? [pic]A.18 cm
[pic]B.9 cm
[pic]C.6 cm
[pic]D.3 cm

9. If circumference of the circle shown below is 96 cm and [pic]CKA = 15°, then what is the measure of the minor arc CA? [pic]
[pic]A.7 cm
[pic]B.5 cm
[pic]C.6 cm
[pic]D.8 cm

10. Given a circle with a diameter of 8 cm, what is the approximate circumference? [pic]A.25 cm
[pic]B.50 cm
[pic]C.38 cm
[pic]D.13 cm
11. [pic]
In the circle above, line segment AC is a diameter which intersects the line segment BD at a right angle, the measure of line segment BE is 6 cm, and the measure of line segment EC is 8 cm. What is the measure of the line segment DC? [pic]A.10 cm

[pic]B.5 cm
[pic]C.12 cm
[pic]D.9 cm
12. [pic]
Segment e = 3 cm and segment g = 2 cm. Find the length of segment f. [pic]A.6 cm
[pic]B.5 cm
[pic]C.4 cm
[pic]D.2 cm

13. The circle below with center O is shown with two different arcs. Arc Q is shown in red and arc R is shown in blue. Which of the following is correct? [pic]*Not drawn to scale.
[pic]A.The length of arc Q is three times the length of arc R. [pic]B.Q is the minor arc and this circle does not have a major arc. [pic]C.Q is the major arc and R is the minor arc.
[pic]D.Q is the minor arc and R is the major arc.
14. [pic]Which line segment above represents a secant of the circle? [pic]A.line segment OP
[pic]B.line segment YZ
[pic]C.line segment RS
[pic]D.line segment MN

15. If the diameter of a circle is 6 cm, then what is the radius? [pic]A.12 cm
[pic]B.3 cm
[pic]C.4.5 cm
[pic]D.1.5 cm
16. [pic]
In the figure above, segment AC is the diameter of the circle. If the length of segment BD = 5 inches, find the length of segment BE. [pic]A.5 inches
[pic]B.15 inches
[pic]C.10 inches
[pic]D.2.5 inches
17. [pic]*Not drawn to scale.
In the circle above the measure of arc Q is 3 inches and [pic]COA = 45°. What is the circumference of the circle shown above?
[pic]A. 24 inches[pic] B. 29 inches [pic] C.17 inches [pic] D.16 inches

18. [pic]In circle B, line segment AC is the
[pic]B.circumference
[pic]C.center
[pic]D.diameter
19. [pic]Which of the following angles is a central angle? [pic]A.[pic]ABC
[pic]B.[pic]AKC
[pic]C....