NC Math 3 Honors

Unit 7A Circles and Trig Review

Find each missing angle or side:

1. / / 2. / / 3. / / 4. /
5. / Find x.
/ 6. / / 7. / 8. /

Write the equation of a circle with the given information:

  1. Center and radius 2
  2. Center and radius 10
  3. Center through
  4. Center through

Graph each circle:


Identify the center and radius for each circle:


Convert each angle from radians to degrees:


Convert each angle from degrees to radians:


For each of the following:

  1. Sketch the angle in standard position.
  2. Determine one positive and one negative coterminal angle.
  3. Determine the reference angle.


  1. radians
  2. radians
  3. radians

Use the given information to determine each of the six trigonometric ratios:


Find the missing value in each triangle below:

27. / / 28. / / 29. /
30. / / 31. / / 32. /
  1. Ms. Anthony is walking into Wal-Mart and notices Armani stranded on the roof. If Ms. Anthony’s eyes are 5 feet above the ground and she notices Armani at an angle of elevation of at the moment she is 105 feet from the door, how high up is Armani? What should Ms. Anthony do?
  1. Mrs. Lassiter is standing on the top bleacher in the gym, 45 feet high. If she spots one basketball player at an angle of depression of and another basketball player at an angle of depression of how far away are the two players?

Fill in the blank unit circle below. Make sure to include angles in both degrees and radians.

Use the unit circle to determine the value of each trigonometric ratio below: