Objectives
To use radian measure for angles
To find the length of an arc of a circle
A central angle of a circle is an angle with a vertex at the center of a circle. An intercepted arc is the portion of the circle with endpoints on the sides of the central angle and remaining points within the interior of the angle.
A radian is the measure of a central angle that intercepts an arc with length equal to the radius of the circle. Radians, like degrees, measure the amount of rotation from the initial side to the terminal side of an angle.
Essential Understanding An angle with a full circle rotation measures 2π radians. An angle with a semicircle rotation measures π radians.
You can use the proportion