# NY Regents - Circular Arcs and Circles: Help and Review Chapter Exam

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. Which of the following shows a circle inscribed in a square?

#### Question 2 2. If angle ACB is 47 degrees, what is the measure of angle AOB?

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

#### Question 4 4. 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 5 5. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

### Page 2

#### Question 6 6. In the picture below, if arc AC is 146 degrees and arc BD is 32 degrees, what is the measure of angle AEC?

#### Question 7 7. The line from the center of a circle to the edge is called a(n):

#### Question 8 8. What is the area of a sector if the radius is 12 and the central angle is 45°?

#### Question 9 9. If angle AOB is 40 degrees, what is the measure of angle ACB?

#### Question 10 10. If AB and CB are tangent segments, what is the length of CB?

### Page 3

#### Question 11 11. An arc that comprises half of a circle is called a:

#### Question 12 12. What is the area of a sector if the radius is 9 and the central angle is 42 degrees?

#### Question 13 13. Which line is a tangent to the pictured circle?

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

#### Question 15 15. In the picture below, if arc BD is 168 degrees and arc BC is 70 degrees, what is the measure of angle BAD?

### Page 4

#### Question 16 16. 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 17 17. Which of the following shows circles that are tangent to each other?

#### Question 18 18. If arc AC is 122 degrees and arc BC is 192 degrees, what is the measure of angle ACB?

#### Question 19 19. In the picture below, if AB is 12, AC is 24 and AD is 10, what is the length of AE?

#### Question 20 20. 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 5

#### Question 21 21. If arc BC is 84 degrees, what is the measure of angle ACB?

#### Question 22 22. If arc AB is 72 degrees, what is the measure of angle ACB?

#### Question 23 23. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

#### Question 24 24. If angle ACB is 34 degrees, what is the measure of angle ADB?

#### Question 25 25. What is the area of a sector if the radius is 5 and the arc length is 2?

### Page 6

#### Question 26 26. In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

#### Question 27 27. The smaller shape connecting two points on a circle is called a:

#### Question 28 28. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

#### Question 29 29. What is the measure of the minor arc when the major arc is 190 degrees?

#### Question 30 30. If the area of the square is 64, what is the area of the circle, rounded to the nearest whole number?

#### NY Regents - Circular Arcs and Circles: Help and Review 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!