What is a Radian?

Guiding Question

Watch the green arc grow along the circle. At what angle does the arc length exactly equal the radius? How many radii fit around the full circumference?

A radian is the angle subtended at the center of a circle when the arc length equals the radius.

1 radian ≈ 57.3° | π radians = 180° | 2π radians = 360°

Angle: 0.00 rad (0.00°)

Arc Length: 0.00 r

Radius: 1.00 r

1.00 rad