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Additional Practice: Angles and The Unit Circle

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19 views1 page

Additional Practice: Angles and The Unit Circle

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Zachary Nguyen
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Name ALGEBRA 2

SavvasRealize.com

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

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