My name is holly i am a tenth grader at bonita vista high school in san diego california. This is a secondary question. I am a student. What is the formoula for finding the arc length of a central angle of a circle??
If you consider a circle with radius r then its circumference is . Thus when the angle is 360o the arclength is
If the angle is less than 360o, that is some fraction of 360o, then the arclength is the same fraction of
If you measure the angle in radians rather than degrees then the expression is simpler. Since 360o is radians, the arclength in the second diagram is .