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Radian Measure & Arc Length - Worksheet 5 - 12th Grade

Medium

Practice exact trigonometric values and identities with angle units and domains stated.

medium: Use other quadrants and basic identities.

22 problems · 20-25 minutes · Skills: trigonometry, radians, measurement

About This Worksheet

This medium-level worksheet contains 22 problems designed for 12th Grade students practicing radian measure & arc length. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Use radians, the unit circle and exact special-angle values.

  • Practice exact trigonometric values and identities with angle units and domains stated.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Convert 45° to radians.
Solution Steps:
  1. Multiply degrees by π/180 and simplify.
Answer: π/4
Tip: Check your result using the method in the example before moving to the next question.
1
Convert 45° to radians.
2
Convert 150° to radians.
3
Convert 180° to radians.
4
Convert 60° to radians.
5
Convert 90° to radians.
6
Convert 0° to radians.
7
Convert 30° to radians.
8
Convert 135° to radians.
9
Convert 270° to radians.
10
Convert 120° to radians.
11
Convert 45° to radians.
12
Convert 150° to radians.
13
Convert 0° to radians.
14
Convert 90° to radians.
15
Convert 45° to radians.
16
Convert 90° to radians.
17
Convert 270° to radians.
18
Convert 30° to radians.
19
Convert 120° to radians.
20
Convert 60° to radians.
21
Convert 150° to radians.
22
Convert 180° to radians.

Answer Key

1. π/42. 5π/63. π4. π/35. π/26. 07. π/68. 3π/49. 3π/210. 2π/311. π/412. 5π/613. 014. π/215. π/416. π/217. 3π/218. π/619. 2π/320. π/321. 5π/622. π

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Frequently Asked Questions

How do I download this radian measure & arc length - worksheet 5 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this trigonometry & circular functions worksheet cover?

This worksheet focuses on trigonometry, radians, measurement. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.