FTCE Middle Grades Mathematics 5-9 (025): Practice & Study Guide  /  Math Courses

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FTCE Middle Grades 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. Convert 3pi / 2 radians to degrees.

Question 2 2. 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 3 3. Convert 30 degrees to radians.

Question 4 4. If angle ACB is 34 degrees, what is the measure of angle ADB?

Question 5 5. If arc BC is 84 degrees, what is the measure of angle ACB?

Page 2

Question 6 6. 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 7 7. 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 8 8. Find the arc length of a circle with a radius of 9 cm and a central angle of 22 degrees.

Question 9 9. Which of the following shows circles that are tangent to each other?

Question 10 10. In the picture below, if AB is 7, BC is 19 and AD is 8, what is the length of DE?

Page 3

Question 11 11. A radius drawn to a tangent line forms what type of angle?

Question 12 12. An arc that comprises half of a circle is called a:

Question 13 13. If arc AC is 106 degrees and arc BC is 82 degrees, what is the measure of angle ACB?

Question 14 14. The line from the center of a circle to the edge is called a(n):

Question 15 15. The locus of points that are the same distance from a center point form:

Page 4

Question 16 16. What is the area of a sector if the radius is 9 and the central angle is 42 degrees?

Question 17 17. In the picture below, if arc CE is 172 degrees and arc BD is 80 degrees, what is the measure of angle CAE?

Question 18 18. In the picture below, if AE is 10, AB is 14 and ED is 16, what is the length of CE?

Question 19 19. In the picture below, if arc AC is 146 degrees and arc BD is 32 degrees, what is the measure of angle AEC?

Question 20 20. What is the measure of the major arc when the minor arc is 120 degrees?

Page 5

Question 21 21. What is the area of a sector if the radius is 14 and the arc length is 5?

Question 22 22. The smaller shape connecting two points on a circle is called a:

Question 23 23. In the picture below, if AC is 14 and AB is 10, what is the length of AD?

Question 24 24. Which of the following is the measure of a minor arc?

Question 25 25. Find the arc length of a circle with a diameter of 25 meters and a central angle of 45 degrees.

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Question 26 26. What is the area of a sector if the radius is 5 and the arc length is 2?

Question 27 27. What is the measure of the minor arc when the major arc is 190 degrees?

Question 28 28. If the measure of central angle AOB is 62 degrees, what is the measure of inscribed angle ACB?

Question 29 29. What is the arc length, rounded to the nearest whole number, if the radius is 8 and the central angle is 72 degrees?

Question 30 30. A tangent to a circle is a line that:

FTCE Middle Grades 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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