Trigonometry

Radians to Degrees (45s) (Level 1)

This math topic focuses on converting radians to degrees specifically using angles that are multiples or fractions of 45 degrees. It is part of a broader unit on Trigonometry Fundamentals. Each problem presents an angle in radians and asks for the equivalent measure in degrees, using the conversion factor that 180 degrees equals π radians. The problems seem designed to test and enhance understanding of the unit circle and the relationship between radians and degrees in trigonometric contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry - Radians to Degrees (45s) Worksheet

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Trigonometry - Radians to Degrees (45s)
1
A LaTex expression showing Pi \text{ rad}
How many radians is this angle (180° = π radians)?
a
225°
b
180°
2
A LaTex expression showing Pi over 2 \text{ rad}
How many radians is this angle (180° = π radians)?
a
30°
b
90°
3
A LaTex expression showing 2Pi \text{ rad}
How many radians is this angle (180° = π radians)?
a
360°
b
330°
4
A LaTex expression showing 7Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
330°
b
315°
5
A LaTex expression showing 5Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
240°
b
225°
6
A LaTex expression showing 3Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
180°
b
135°
7
A LaTex expression showing Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
45°
b
120°
8
A LaTex expression showing 3Pi over 2 \text{ rad}
How many radians is this angle (180° = π radians)?
a
315°
b
270°