Converting Radians and Degrees One unit of measurement for angles is degrees, which are based on a fraction of a circle. Another unit is called radian, which is defined as the measure of a central angle whose arc length is the same as the radius of the circle. In the following picture, let r represent the length of the radius of the circle, represent the measure of the θ central angle in radians, and s represent the length of the intercepted arc. By the definition of radians, r and s are equal to each other. But what if I wanted to find the number of radians in the entire circle? I would have to take the circumference divided by the radius. To convert from radians to degrees: To convert from degrees to radians: Example: Convert from radians to degrees: Example: Convert from degrees to radians 135 270 90
Converting Radians and Degrees One unit of measurement for angles is degrees, which are based on a fraction of a circle. Another unit is called radian, which is defined as the measure of a central angle whose arc length is the same as the radius of the circle. In the following picture, let r represent the length of the radius of the circle, θ represent the measure of the central angle in radians, and s represent the length of the intercepted arc. By the definition of radians, r and s are equal to each other. But what if I wanted to find the number of radians in the entire circle? I would have to take the circumference divided by the radius. To convert from radians to degrees: To convert from degrees to radians: Example: Convert from radians to degrees: Example: Convert from degrees to radians 135 270 90
Day-1-Notes-Parts-of-Circles-on-level-2mpm1s3.docx