# ORELA Math: Circles & Arc of a Circle Chapter Exam

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### 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. Which of the following is the measure of a major arc?

#### Question 4 4. What is the measure of the minor arc when the major arc is 190 degrees?

#### Question 5 5. If arc AB is 72 degrees, what is the measure of angle ACB?

### Page 2

#### Question 6 6. In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

#### Question 7 7. If angle OAB is 45 degrees, what is the measure of angle AOB?

#### Question 8 8. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

#### Question 9 9. In the picture below, if arc AB is 82 degrees, what is the measure of angle BAC?

#### Question 10 10. Which line is a tangent to the pictured circle?

### Page 3

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

#### Question 13 13. The smaller shape connecting two points on a circle is called a:

#### Question 14 14. Circle D has a radius of 17 cm. What is the circumference of circle D?

#### Question 15 15. If angle AOB is 40 degrees, what is the measure of angle ACB?

### Page 4

#### Question 16 16. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

#### Question 17 17. The line from the center of a circle to the edge is called a(n):

#### Question 18 18. A tangent to a circle is a line that:

#### Question 19 19. In the picture below, if AE is 8, CE is 12 and ED is 5, what is the length of EB?

#### Question 20 20. If AB and CB are tangent segments, what is the length of CB?

### Page 5

#### Question 21 21. Judy is baking a round cake for her niece's birthday and the recipe requires her to coat the bottom of the pan with flour. If the cake pan has an 8-inch diameter, what is the area that she will need to cover with flour on the bottom of the pan?

#### Question 22 22. 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 23 23. 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 24 24. What is the area of a sector if the radius is 14 and the arc length is 5?

#### Question 25 25. A bicycle wheel has a diameter of 26 inches. What is the circumference?

### Page 6

#### Question 26 26. What is the arc length, rounded to the nearest whole number, if the radius is 8 and the central angle is 72 degrees?

#### Question 27 27. If angle ACB is 47 degrees, what is the measure of angle AOB?

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

#### Question 30 30. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

#### ORELA 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!