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Trigonometry (Unit Circle) - Labeling Angles Degrees to Radians (45s)

Level 1

This topic focuses on practicing trigonometry skills related to the unit circle, specifically converting degree measurements to radians for labeled angles. The problems guide the learner through identifying the radian measure of angles in 45-degree increments using the relationship \(180^\circ = \pi\) radians. There are multiple problems that require matching a visual angle representation to its equivalent in radians, with options given in a multiple-choice format.

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

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Trigonometry (Unit Circle) - Labeling Angles Degrees to Radians (45s) Worksheet

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Trigonometry (Unit Circle) - Labeling Angles Degrees to Radians (45s)
1
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing 5Pi over 4 \text{ rad}
b A LaTex expression showing 3Pi over 2 \text{ rad}
2
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing Pi over 2 \text{ rad}
b A LaTex expression showing Pi over 4 \text{ rad}
3
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing Pi over 6 \text{ rad}
b A LaTex expression showing Pi over 4 \text{ rad}
4
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing 5Pi over 6 \text{ rad}
b A LaTex expression showing 3Pi over 4 \text{ rad}
5
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing Pi \text{ rad}
b A LaTex expression showing 5Pi over 4 \text{ rad}
6
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing 7Pi over 6 \text{ rad}
b A LaTex expression showing 5Pi over 4 \text{ rad}
7
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing 7Pi over 4 \text{ rad}
b A LaTex expression showing 11Pi over 6 \text{ rad}
8
An svg image showing a math problem
How many radians is this angle (180° = π radians)?
a A LaTex expression showing Pi \text{ rad}
b A LaTex expression showing 5Pi over 6 \text{ rad}