Trigonometry2D

Angles and their Measure - Theory & Concepts - Trigonometry Radians Degrees Converter

Comprehensive guide to Degrees, Radians, Coterminal Angles, Arc Length, Sector Area, and Circular Segments with interactive visualizations.

Visualize angle measurement conversion on a 2D coordinate system.

Angle (Degrees)45°

0°90°180°270°360°

Degrees to Radians:

\text{rad} = \theta^\circ \times \frac{\pi}{180^\circ}

Calculation:

45^\circ \times \frac{\pi}{180^\circ} = \frac{\pi}{4} \approx 0.7854\text{ rad}

Radians to Degrees:

\text{deg} = \text{rad} \times \frac{180^\circ}{\pi}

Calculation:

0.7854 \times \frac{180^\circ}{\pi} = 45^\circ

Angles measured counter-clockwise from the positive x-axis are positive. One full rotation corresponds to

360^\circ

2\pi

radians.

Angle Measure

45^\circ = \frac{\pi}{4}\text{ rad}

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