Name ALGEBRA 2
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7-2 Additional Practice
Angles and the Unit Circle
Find the measure of each angle as a positive angle measure, a negative angle
measure, and an angle measure that is greater than 360°.
1. y 2. y 3. y
x 60° x x
O 60° O O 45°
Sketch each angle in standard position.
4. 210° y 5. −45° y 6. ___
5π
y
6
x x x
Find the measure of an angle in standard position for each reference angle.
7. 10° in Quadrant II 8. 35° in Quadrant IV 9. 34° in Quadrant III
Convert each angle to degrees.
3π
10. __ 2
= degrees 6π
11. − __
5
= degrees 7π
12. __
4
= degrees
Convert each angle to radians.
13. 140° degrees = 14. −160° degrees = 15. 330° degrees =
9π
16. A Ferris wheel rotates __ 8
radians prior to making a stop. The total height of the
Ferris wheel is 246 ft. How far around did the Ferris wheel travel? Round to the
nearest whole foot.
17. How does the formula for the circumference of a circle relate to one rotation
around the unit circle?
enVision® Florida Algebra 2 • Teaching Resources