Trigonometry

Degrees to Radians (30s) (Level 1)

This math topic focuses on converting angles from degrees to radians, which is a fundamental skill in trigonometry. Each problem presents a specific angle in degrees and asks to find its equivalent in radians, emphasizing understanding of $\pi$ radians as equivalent to $180^\circ$. The problems include angles such as $45^\circ$, $300^\circ$, $315^\circ$, $330^\circ$, $360^\circ$, $210^\circ$, and $135^\circ$. Each question offers multiple-choice answers, providing practice in calculating the radian measure for various angles. This activity is designed to enhance proficiency in working within the unit circle and understanding angular measurements in different units.

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

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Trigonometry - Degrees to Radians (30s) Worksheet

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Trigonometry - Degrees to Radians (30s)
1
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 3Pi over 4 \text{ rad}
2
How many radians is this angle (180° = π radians)?
300°
a A LaTex expression showing 5Pi over 3 \text{ rad}
b A LaTex expression showing 2Pi \text{ rad}
3
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}
4
How many radians is this angle (180° = π radians)?
330°
a A LaTex expression showing 4Pi over 3 \text{ rad}
b A LaTex expression showing 11Pi over 6 \text{ rad}
5
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}
6
How many radians is this angle (180° = π radians)?
210°
a A LaTex expression showing 5Pi over 4 \text{ rad}
b A LaTex expression showing 7Pi over 6 \text{ rad}
7
How many radians is this angle (180° = π radians)?
135°
a A LaTex expression showing 3Pi over 4 \text{ rad}
b A LaTex expression showing 5Pi over 6 \text{ rad}
8
How many radians is this angle (180° = π radians)?
120°
a A LaTex expression showing 2Pi over 3 \text{ rad}
b A LaTex expression showing 5Pi over 6 \text{ rad}