Trigonometry

Degrees to Radians (90s) (Level 1)

This math topic focuses on converting degrees to radians, specifically for angles commonly found in the unit circle (90-degree increments). It includes problems for converting 0, 90, 180, 270, and 360 degrees into radians using the conversion relationship where 180 degrees equals π radians. Each question provides two potential answers in radian form, and students must select the correct one. This set of problems serves as part of a broader unit on Trigonometry Fundamentals.

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

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Trigonometry - Degrees to Radians (90s) Worksheet

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Trigonometry - Degrees to Radians (90s)
1
How many radians is this angle (180° = π radians)?
a A LaTex expression showing Pi over 3 \text{ rad}
b A LaTex expression showing 0\text{ rad}
2
How many radians is this angle (180° = π radians)?
360°
a A LaTex expression showing 2Pi \text{ rad}
b A LaTex expression showing 4Pi over 3 \text{ rad}
3
How many radians is this angle (180° = π radians)?
270°
a A LaTex expression showing 3Pi over 2 \text{ rad}
b A LaTex expression showing 7Pi over 4 \text{ rad}
4
How many radians is this angle (180° = π radians)?
180°
a A LaTex expression showing 5Pi over 6 \text{ rad}
b A LaTex expression showing Pi \text{ rad}
5
How many radians is this angle (180° = π radians)?
90°
a A LaTex expression showing Pi over 3 \text{ rad}
b A LaTex expression showing Pi over 2 \text{ rad}