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Radians & Degrees - Printable Mathematics Worksheets - Wayground

Radians & Degrees

15 questions

11th - 11th Grade

Mathematics

This Grade 11 mathematics worksheet gives students focused practice converting angles between degrees and radians through 15 multiple-choice questions. Students work with specific conversions such as 510° to radians, 210° to radians, π radians to degrees, and other radian-to-degree items, while also identifying the measures associated with complete revolutions. The worksheet extends angle-measure practice to coterminal angles, including positive and negative coterminal pairs, and locating negative angles such as −740° and −570° by quadrant. Students also interpret angle sketches, select approximate measures, and identify the sketch representing −295°. This free printable worksheet includes a complete answer key, making it useful for Grade 11 math practice, independent work, review, or a quick check of students’ fluency with degree-radian conversion and angle relationships.

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Worksheets

Radians & Degrees

Total questions: 15

Name
Class
Date
1.

Convert 510o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

2.

Convert 210o to Radians

a)

7π / 6

b)

21π / 10

c)

5π / 6

d)

9π / 4

3.

What is  225°225\degree   in radians? 

a)

7π4\frac{7\pi}{4}  

b)

5π4\frac{5\pi}{4}  

c)

3π4\frac{3\pi}{4}  

d)

5π3\frac{5\pi}{3}  

4.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
5.

Convert π3\frac{\pi}{3}  radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

6.

 Convert  π4\frac{\pi}{4}  to degrees

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

7.

How many degrees are in one revolution?

a)

0°0\degree

b)

90°90\degree

c)

180°180\degree

d)

360°360\degree

8.

How many radians are in one revolution?

a)

2π2\pi

b)

π\pi

c)

π2\frac{\pi}{2}

d)

3π2\frac{3\pi}{2}

9.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

10.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

11.

What are the negative and positive coterminal angles of -165°?

a)

435°, -545°

b)

185°, -305°

c)

195°, -525°

d)

125°, -185°

12.

In which quadrant is -570⁰

a)

I

b)

II

c)

III

d)

IV

13.

Which is a coterminal angle to the angle shown?

a)

613

b)

73

c)

-117

d)

17

14.
Which of the following is closest to the measure of the angle shown?
a)
30º
b)
40º
c)
395º
d)
440º
15.

Which sketch is -295°?

a)

A

b)

B

c)

C

d)

D

Answer Key

Radians & Degrees

Total questions: 15

1.
c)

17π / 6

2.
a)

7π / 6

3.
b)

5π4\frac{5\pi}{4}  

4.
b) 180⁰
5.
a)

60⁰

6.
b)

45⁰

7.
d)

360°360\degree

8.
a)

2π2\pi

9.
a)

365°

10.
d)

4

11.
c)

195°, -525°

12.
b)

II

13.
a)

613

14.
c) 395º
15.
b)

B

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FAQs

What does the Radians & Degrees worksheet cover?

This Grade 11 worksheet uses 15 multiple-choice questions to practise converting degree measures to radians and radian measures to degrees. It also asks students to find positive and negative coterminal angles, locate negative angles by quadrant, and interpret sketches such as the one representing −295°, building accuracy with both calculation and angle visualization.

How can I use this worksheet to teach degree-radian conversion and coterminal angles?

Introduce the worksheet by reviewing the relationship between degree and radian measures, then model one conversion in each direction before students begin the multiple-choice items. Afterward, have students explain how they selected coterminal angles and reduced negative angles to determine their quadrants, using the questions about 5°, −165°, −740°, and −570° as discussion prompts.

What mistakes should I watch for when students complete this worksheet?

Students may reverse the degree-to-radian and radian-to-degree operations, choose a distractor based on an incomplete simplification, or confuse the measure of an angle with its coterminal equivalent. For the negative-angle and sketch questions, watch for students adding or subtracting a full turn incorrectly, assigning the wrong quadrant, or overlooking the direction of rotation shown by a negative angle.

How do I assign and grade this Radians & Degrees worksheet?

The 15-question Radians & Degrees worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printed submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the multiple-choice conversion, coterminal-angle, and sketch items easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the angle-measure tasks.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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