Trigonometry

Radians to Degrees (30s) (Level 1)

This math topic focuses on converting angles from radians to degrees. It practices the conversion of specific radian measures, given as fractions of \(\pi\) (e.g., \(\frac{7\pi}{6}\), \(\frac{3\pi}{4}\)), into degree measurements using the relationship \(180^\circ = \pi\) radians. Each problem presents a radian measure and asks to identify the equivalent degree from provided options, enhancing familiarity with the unit circle and fundamentals of trigonometry.

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

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Trigonometry - Radians to Degrees (30s) Worksheet

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Trigonometry - Radians to Degrees (30s)
1
A LaTex expression showing 7Pi over 6 \text{ rad}
How many radians is this angle (180° = π radians)?
a
210°
b
240°
2
A LaTex expression showing 3Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
135°
b
60°
3
A LaTex expression showing 4Pi over 3 \text{ rad}
How many radians is this angle (180° = π radians)?
a
180°
b
240°
4
A LaTex expression showing 5Pi over 3 \text{ rad}
How many radians is this angle (180° = π radians)?
a
300°
b
240°
5
A LaTex expression showing 2Pi over 3 \text{ rad}
How many radians is this angle (180° = π radians)?
a
180°
b
120°
6
A LaTex expression showing 7Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
240°
b
315°
7
A LaTex expression showing Pi over 2 \text{ rad}
How many radians is this angle (180° = π radians)?
a
90°
b
135°
8
A LaTex expression showing Pi over 4 \text{ rad}
How many radians is this angle (180° = π radians)?
a
90°
b
45°