Circle and Pic
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
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