Radians and Degrees Conversion Worksheet
Convert between radians and degrees, understand their relationship, and apply conversions to trigonometric problems.
Includes
Standards
Radians and Degrees Conversion
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work for conversion problems.
1. One full revolution is equal to 360 or 2π .
2. To convert degrees to radians, multiply by .
3. To convert radians to degrees, multiply by .
Convert the following degree measures to radians. Express your answers in terms of π.
4. 60°
5. 135°
6. 270°
7. 330°
Convert the following radian measures to degrees.
8. π/4
9. 5π/6
10. 7π/3
11. 11π/12
12. Which of the following is equivalent to 45°?
π/2 radians
π/3 radians
π/4 radians
π/6 radians
13. An angle of 2π radians is equivalent to how many degrees?
90°
180°
270°
360°
14. A straight angle measures 180° or π radians.
True
False
15. An arc of a circle has a length of 5 cm and subtends a central angle of 2.5 radians. What is the radius of the circle? (Formula: arc length = radius × angle in radians)
Use the protractor below to estimate the degree measure of the angle, then convert it to radians.
Estimated Angle (degrees):
Angle in Radians:
Related Worksheets
Tangent Function Mastery - Grade 10
This worksheet focuses on understanding and applying the tangent function in right-angled triangles and on the coordinate plane for Grade 10 students.
Angle of Depression Worksheet
A Grade 10 Math worksheet focusing on understanding and calculating the angle of depression in various real-world scenarios.
Trigonometric Equations Worksheet
A Grade 10 Math worksheet covering solving trigonometric equations, including sine, cosine, and tangent functions.
Sine and Cosine Graphs Worksheet
Understand and graph sine and cosine functions, including amplitude, period, and phase shift.
Angle of Elevation and Depression Worksheet
This worksheet focuses on understanding and applying the concepts of angle of elevation and depression in various real-world scenarios for Grade 10 students.
Sum and Difference Identities Worksheet
Grade 10 Math worksheet covering sum and difference identities for sine, cosine, and tangent.
Sine Law Ambiguous Case Worksheet
Explore the ambiguous case of the Sine Law with various triangle scenarios and problem-solving exercises for Grade 10 students.
Cotangent Functions Worksheet - Grade 10
Explore cotangent functions, their graphs, properties, and applications in trigonometry for Grade 10 students.