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Convert Degrees to Radians - Printable Mathematics Worksheets - Wayground

Convert Degrees to Radians

10 questions

10th - 12th Grade

Mathematics

Convert Degrees to Radians is a free printable mathematics worksheet for students in Grades 10–12. It contains 10 multiple-choice questions that ask students to convert specific degree measures—including 45°, 60°, 90°, 120°, 150°, 180°, 225°, 270°, 300°, and 360°—into equivalent radian measures. The worksheet includes an answer key for checking student work. Students apply the conversion relationship between degrees and radians and select the correct simplified expression, strengthening accuracy with common angle measures used in trigonometry. The question set includes angles from a full rotation as well as benchmark angles, giving teachers a focused way to check whether students can distinguish degree notation from radian notation and calculate each equivalent measure. Use it for independent practice, a short skills check, review before working with the unit circle, or reinforcement after introducing radian measure.

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Worksheets

Convert Degrees to Radians

Total questions: 10

Name
Class
Date
1.

Convert 180° to a radian measure.

a)

12π\frac{1}{2}\pi  

b)

π\pi  

c)

2π2\pi  

d)

34π\frac{3}{4}\pi  

2.

Convert 60° to a radian measure.

a)

13π\frac{1}{3}\pi  

b)

16π\frac{1}{6}\pi  

c)

12π\frac{1}{2}\pi  

d)

π\pi  

3.

Convert 90° to a radian measure.

a)

13π\frac{1}{3}\pi  

b)

14π\frac{1}{4}\pi  

c)

12π\frac{1}{2}\pi  

d)

π\pi  

4.

Convert 45° to a radian measure.

a)

18π\frac{1}{8}\pi  

b)

14π\frac{1}{4}\pi  

c)

12π\frac{1}{2}\pi  

d)

16π\frac{1}{6}\pi  

5.

Convert 300° to a radian measure.

a)

34π\frac{3}{4}\pi  

b)

74π\frac{7}{4}\pi  

c)

53π\frac{5}{3}\pi  

d)

56π\frac{5}{6}\pi  

6.

Convert 270° to a radian measure.

a)

34π\frac{3}{4}\pi  

b)

  65π\frac{6}{5}\pi  

c)

53π\frac{5}{3}\pi  

d)

32π\frac{3}{2}\pi  

7.

Convert 150° to a radian measure.

a)

56π\frac{5}{6}\pi  

b)

  65π\frac{6}{5}\pi  

c)

67π\frac{6}{7}\pi  

d)

54π\frac{5}{4}\pi  

8.

Convert 225° to a radian measure.

a)

56π\frac{5}{6}\pi  

b)

  65π\frac{6}{5}\pi  

c)

67π\frac{6}{7}\pi  

d)

54π\frac{5}{4}\pi  

9.

Convert 360° to a radian measure.

a)

π\pi  

b)

  2π2\pi  

c)

3π3\pi  

d)

4π4\pi  

10.

Convert 120° to a radian measure.

a)

23π\frac{2}{3}\pi  

b)

14π\frac{1}{4}\pi  

c)

34π\frac{3}{4}\pi  

d)

15π\frac{1}{5}\pi  

Answer Key

Convert Degrees to Radians

Total questions: 10

1.
b)

π\pi  

2.
a)

13π\frac{1}{3}\pi  

3.
c)

12π\frac{1}{2}\pi  

4.
b)

14π\frac{1}{4}\pi  

5.
c)

53π\frac{5}{3}\pi  

6.
d)

32π\frac{3}{2}\pi  

7.
a)

56π\frac{5}{6}\pi  

8.
d)

54π\frac{5}{4}\pi  

9.
b)

  2π2\pi  

10.
a)

23π\frac{2}{3}\pi  

FAQs

What does the Convert Degrees to Radians worksheet cover?

This Grade 10–12 mathematics worksheet focuses on converting 10 specific degree measures into equivalent radian measures through multiple-choice questions. Students use the degree-to-radian relationship to identify simplified results for benchmark angles such as 45°, 90°, 180°, 270°, and 360°, building accuracy with common trigonometric measures.

How can I use this worksheet to teach students to convert degrees to radians?

First model the degree-to-radian conversion relationship with a benchmark such as 180° and connect it to π radians. Then have students apply the same process to the worksheet’s multiple-choice items, asking them to explain how they simplified measures such as 60°, 120°, or 225° before selecting an answer. Review the choices afterward to discuss why an incorrect factor or unsimplified expression does not represent the equivalent radian measure.

What mistakes should I watch for when students convert degrees to radians on this worksheet?

Students may omit π, use the wrong conversion factor, or reverse the degree-to-radian relationship. They may also fail to simplify fractional results or confuse a full rotation, 360°, with π radians instead of 2π radians. Because the worksheet uses multiple-choice questions, ask students to show their conversion step rather than relying only on answer selection.

How do I assign and grade this Convert Degrees to Radians worksheet?

On Wayground, you can assign this worksheet as a printable PDF or use it as a digital quiz, and it includes a complete answer key for the 10 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this degree-to-radian conversion worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the 10 multiple-choice conversion items are easier to read and complete. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the mathematical directions and answer choices.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive 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.