Radians and Degrees Worksheet
A Grade 12 math worksheet focusing on converting between radians and degrees, and understanding their application in trigonometry.
Includes
Standards
Topics
Radians and Degrees
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. To convert degrees to radians, multiply the degree measure by .
2. There are radians in a full circle.
3. An angle of 90 degrees is equivalent to radians.
4. Which of the following is equivalent to 270° in radians?
π/2
π
3π/2
2π
5. An angle of 5π/6 radians is equal to how many degrees?
120°
150°
210°
300°
6. Convert 315° to radians. Express your answer in terms of π.
7. Convert 7π/4 radians to degrees.
8. On the unit circle below, label the angles in both degrees and radians for 0°, 90°, 180°, 270°, and 360° (or 0 radians, π/2, π, 3π/2, and 2π radians).
9. A positive angle measured counterclockwise from the positive x-axis is in standard position.
True
False
10. One radian is approximately equal to 57.3 degrees.
True
False
11. A Ferris wheel has a radius of 20 meters and completes one revolution every 2 minutes. What is the angular speed of the Ferris wheel in radians per second?
Related Worksheets
Angle of Elevation and Depression Worksheet
Grade 12 math worksheet on angle of elevation and depression, including real-world problems and trigonometric calculations.
Sine and Cosine Graphs Worksheet
Explore the properties, transformations, and applications of sine and cosine graphs at a Grade 12 level, including amplitude, period, phase shift, and vertical shift.
Grade 12 Unit Circle Mastery Worksheet
A comprehensive worksheet for Grade 12 students to practice and master concepts related to the unit circle in trigonometry.
Double and Half Angle Identities Worksheet
Grade 12 Math worksheet on double and half angle identities, covering derivation, application, and problem-solving.
Grade 12 Trigonometric Functions Worksheet
Explore and apply trigonometric functions, including unit circle concepts, identities, and graphing, suitable for Grade 12 mathematics students.
Grade 12 Cotangent Worksheet
This worksheet focuses on understanding and applying the cotangent function, including its graph, values, and relationship to other trigonometric functions.
Grade 12 Trigonometry: Sine and Cosine Equations
This worksheet focuses on solving sine and cosine equations, including those with multiple solutions and transformations, suitable for Grade 12 trigonometry students.
Grade 12 Right Triangle Word Problems Worksheet
Solve real-world problems involving right triangles and trigonometry.