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Trigonometry

Degrees to Radians (45s) (Level 1)

This math topic centers on converting angle values from degrees to radians, specifically focusing on angles that are multiplies of 45 degrees. It includes practice problems requiring conversions of various angles such as 45°, 90°, 135°, 180°, 225°, 270°, and 360° to their equivalent in radians, using the conversion factor where 180° equals π radians. Multiple-choice answers are provided, with each question offering options for the correct radian measure of the given angle. This is part of a broader unit on the fundamentals of trigonometry.

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

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Trigonometry - Degrees to Radians (45s) Worksheet

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