FTCE Math: Circles & Arcs Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

Question 2 2. If arc AB is 72 degrees, what is the measure of angle ACB?

Question 3 3. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

Question 4 4. Convert 30 degrees to radians.

Question 5 5. Which of the following is the measure of a major arc?

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Question 6 6. A tangent to a circle is a line that:

Question 7 7. In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

Question 8 8. What is the measure of the major arc when the minor arc is 120 degrees?

Question 9 9. The smaller shape connecting two points on a circle is called a:

Question 10 10. What is the measure of the minor arc when the major arc is 190 degrees?

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Question 11 11. If angle OAB is 45 degrees, what is the measure of angle AOB?

Question 12 12. Find the arc length of a circle with a radius of 9 cm and a central angle of 22 degrees.

Question 13 13. In the picture below, if AE is 10, AB is 14 and ED is 16, what is the length of CE?

Question 14 14. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

Question 15 15. What is the arc length, rounded to the nearest whole number, if the radius is 8 and the central angle is 72 degrees?

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Question 16 16. The radius of a circle is 14 units and includes an arc measuring 17 units in length. What is the measurement of the arc in degrees when rounded to two decimal places?

Question 17 17. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

Question 18 18. In the picture below, if AE is 8, CE is 12 and ED is 5, what is the length of EB?

Question 19 19. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

Question 20 20. What is the area of a sector if the radius is 14 and the arc length is 5?

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Question 21 21. In the picture below, if major arc BC is 258 degrees and minor arc BC is 102 degrees, what is the measure of angle BAC?

Question 22 22. Find the arc length of a circle with diameter of 12 cm and a central angle of 30 degrees.

Question 23 23. The line from the center of a circle to the edge is called a(n):

Question 24 24. A radius drawn to a tangent line forms what type of angle?

Question 25 25. If angle ACB is 34 degrees, what is the measure of angle ADB?

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Question 26 26. In the pictured circle, the measure of angle ACB is 22 degrees and the measure of angle BXD is 120 degrees. What is the measure of angle CAD?

Question 27 27. A circle with a radius of 10 units includes an arc measuring 8 units. Find the arc measure in radians.

Question 28 28. What is the area of a sector if the radius is 9 and the central angle is 42 degrees?

Question 29 29. If arc BC is 84 degrees, what is the measure of angle ACB?

Question 30 30. If AB and CB are tangent segments, what is the length of CB?

FTCE Math: Circles & Arcs Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

FTCE Mathematics 6-12 (026): Practice & Study Guide  /  Math Courses
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