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Converting Degrees and Radians Worksheet
Convert standard angles between degrees and radians using the 180° = π rad relationship. 10 unit circle exercises.
Trigonometry & Angles
Easy / Beginner
High School (Grades 9–12)
10 Problems
Name:
Date:
Class:
Score:
______ / 10
1)
Convert 180° to radians:
2)
Convert 90° to radians:
3)
Convert 360° to radians:
4)
Convert π radians to degrees:
5)
Convert π/4 radians to degrees:
6)
Convert 60° to radians:
7)
Convert 45° to radians:
8)
Convert 30° to radians:
9)
Convert π/3 radians to degrees:
10)
Convert π/2 radians to degrees:
Answer Key & Solutions
Converting Degrees and Radians Worksheet
#1:
pi
180° = π radians.
#2:
pi/2
90° = 180° ÷ 2 = π/2 radians.
#3:
2pi
360° = 2π radians.
#4:
180
π rad = 180°.
#5:
45
180° ÷ 4 = 45°.
#6:
pi/3
60° = 180° ÷ 3 = π/3 radians.
#7:
pi/4
45° × (π / 180°) = 45π / 180 = π/4.
#8:
pi/6
30° × (π / 180°) = 30π / 180 = π/6.
#9:
60
(π/3) × (180° / π) = 180° / 3 = 60°.
#10:
90
(π/2) × (180° / π) = 180° / 2 = 90°.
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