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NES 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 14 and the arc length is 5?

Question 2 2. What is the measure of the minor arc when the major arc is 190 degrees?

Question 3 3. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

Question 4 4. 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?

Question 5 5. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

Page 2

Question 6 6. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

Question 7 7. If arc AB is 72 degrees, what is the measure of angle ACB?

Question 8 8. What is the area of a sector if the radius is 9 and the central angle is 42 degrees?

Question 9 9. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

Question 10 10. Which of the following is the measure of a major arc?

Page 3

Question 11 11. 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 12 12. 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 13 13. If the measure of central angle AOB is 62 degrees, what is the measure of inscribed angle ACB?

Question 14 14. If angle OAB is 45 degrees, what is the measure of angle AOB?

Question 15 15. Which line is a tangent to the pictured circle?

Page 4

Question 16 16. In the picture below, if AB is 12, AC is 24 and AD is 10, what is the length of AE?

Question 17 17. What is the area of a sector if the radius is 5 and the arc length is 2?

Question 18 18. In the picture below, if arc AC is 146 degrees and arc BD is 32 degrees, what is the measure of angle AEC?

Question 19 19. 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 20 20. What is the measure of the minor arc when the major arc is 300 degrees?

Page 5

Question 21 21. A radius drawn to a tangent line forms what type of angle?

Question 22 22. A bicycle wheel has a diameter of 26 inches. What is the circumference?

Question 23 23. What is the measure of the major arc when the minor arc is 120 degrees?

Question 24 24. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

Question 25 25. In the picture below, if AE is 10, AB is 14 and ED is 16, what is the length of CE?

Page 6

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

Question 27 27. What is the arc length, rounded to the nearest whole number, if the radius is 8 and the central angle is 72 degrees?

Question 28 28. The line from the center of a circle to the edge is called a(n):

Question 29 29. What is the area of a sector if the radius is 12 and the central angle is 45°?

Question 30 30. If angle ACB is 34 degrees, what is the measure of angle ADB?

NES 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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