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Angles and Measures Unit Circle

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Angles and Measures Unit Circle
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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert π5\frac{\pi}{5} radians to degrees

36°

36

900°

72

Tags

CCSS.HSF.TF.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Convert 148° to radians

37π45\frac{37\pi}{45}

45π37\frac{45\pi}{37}

37π90\frac{37\pi}{90}

90π37\frac{90\pi}{37}

Tags

CCSS.HSF.TF.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Name the angle indicated by the graph in both degrees and radians.

300°, 5π3300\degree,\ \frac{5\pi}{3}  

315°, 7π4315\degree,\ \frac{7\pi}{4}  

−60°, −π3-60\degree,\ -\frac{\pi}{3}  

−300°, −5π3-300\degree,\ -\frac{5\pi}{3}  

Tags

CCSS.HSF.TF.A.2

4.

LABELING QUESTION

1 min • 1 pt

The unit circle is shown. Some angles are labeled. Drag tiles to label the remaining angles. 3π4\frac{3\pi}{4}

f
g
h
e
d
c
b
a

π6\frac{\pi}{6}

2π3\frac{2\pi}{3}

3π4\frac{3\pi}{4}

π4\frac{\pi}{4}

4π3\frac{4\pi}{3}

7π6\frac{7\pi}{6}

11π6\frac{11\pi}{6}

7π4\frac{7\pi}{4}

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the positive angle in both degrees and radians that represent point L.

240°, 4π3240\degree,\ \frac{4\pi}{3}  

225°, 5π4225\degree,\ \frac{5\pi}{4}  

−60°, −π3-60\degree,\ -\frac{\pi}{3}  

270°, 3π2270\degree,\ \frac{3\pi}{2}  

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the measure of the given angle?

17pi/4

9pi/4

-pi/4

-7pi/4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The diagram below shows an angle, θ, graphed in the xy-coordinate plane. Segment RT is the initial side of the angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin R(0, 0).

The x-coordinate of point M is -1/2. What is the measure of θ to the nearest thousandth of a radian?

4.712

4.189

3.927

3.665

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