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NMTA Math: Circles & Arc of a Circle 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!

Page 1

Question 1 1. What is the area of a sector if the radius is 12 and the central angle is 45°?

Question 2 2. What is the measure of the major arc when the minor arc is 120 degrees?

Question 3 3. The distance around the edge of a circle is called a:

Question 4 4. Which of the following is the measure of a major arc?

Question 5 5. In the picture below, if AE is 10, AB is 14 and ED is 16, what is the length of CE?

Page 2

Question 6 6. What is the measure of the minor arc when the major arc is 190 degrees?

Question 7 7. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

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

Question 9 9. Which of the following is the measure of a minor arc?

Question 10 10. 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?

Page 3

Question 11 11. If arc AB is 72 degrees, what is the measure of angle ACB?

Question 12 12. A bicycle wheel has a diameter of 26 inches. What is the circumference?

Question 13 13. Circle D has a radius of 17 cm. What is the circumference of circle D?

Question 14 14. What is the area of a sector if the radius is 5 and the arc length is 2?

Question 15 15. Which of the following shows circles that are tangent to each other?

Page 4

Question 16 16. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

Question 17 17. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

Question 18 18. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

Question 19 19. If angle OAB is 45 degrees, what is the measure of angle AOB?

Question 20 20. If angle ACB is 34 degrees, what is the measure of angle ADB?

Page 5

Question 21 21. William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?

Question 22 22. What is the area of a sector if the radius is 14 and the arc length is 5?

Question 23 23. What is the measure of the minor arc when the major arc is 300 degrees?

Question 24 24. In the picture below, if arc AC is 146 degrees and arc BD is 32 degrees, what is the measure of angle AEC?

Question 25 25. What is the area of a sector if the radius is 9 and the central angle is 42 degrees?

Page 6

Question 26 26. If angle ACB is 47 degrees, what is the measure of angle AOB?

Question 27 27. If AB and CB are tangent segments, what is the length of CB?

Question 28 28. If angle AOB is 40 degrees, what is the measure of angle ACB?

Question 29 29. A tangent to a circle is a line that:

Question 30 30. Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?

NMTA Math: Circles & Arc of a Circle 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!

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