Radians and Degrees Worksheet
Explore the relationship between radians and degrees with conversion exercises and angle identification for Grade 7 math students.
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 conversion problems.
1. A full circle measures 360 or 2π .
2. To convert degrees to radians, you multiply by .
3. To convert radians to degrees, you multiply by .
Convert the following degree measures to radians. Express your answers in terms of π.
4. 90°
5. 180°
6. 270°
Convert the following radian measures to degrees.
7. π/2 radians
8. 3π/4 radians
9. 2π radians
10. Which of the following is equivalent to 60°?
π/3 radians
π/6 radians
π/2 radians
π radians
11. An angle of π radians is equal to how many degrees?
90°
180°
270°
360°
12. 45 degrees is equal to π/4 radians.
True
False
13. A 360-degree angle is the same as a 1-radian angle.
True
False
14. Identify the degree measure of the angle shown by the protractor:
Related Worksheets
Angle of Depression Worksheet
A Grade 7 Math worksheet focusing on understanding and calculating the angle of depression in real-world scenarios.
Angle of Depression Worksheet
A Grade 7 Math worksheet focusing on understanding and calculating the angle of depression in real-world scenarios.
Tangent Function Basics - Grade 7
Explore the basics of the tangent function in right-angled triangles for Grade 7 mathematics.
Pythagorean Theorem Worksheet
Explore the Pythagorean Theorem with this Grade 7 worksheet, featuring calculations of missing side lengths in right-angled triangles and problem-solving.
Right Triangle Word Problems
Practice solving word problems involving right triangles and the Pythagorean theorem.
Converse of Pythagoras Theorem Worksheet
Explore the Converse of Pythagoras Theorem with this Grade 7 worksheet, determining if triangles are right-angled based on side lengths.
Trigonometric Ratios Worksheet
Understand and apply trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent) in right-angled triangles.