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now lets talk about arc length and how to find it so lets say if we have a circle and we only want to find a portion of the arc length of the circle lets say this portion the length of that segment in green is known as s which is the arc length and its based on the angle theta lets say c is the center of the circle and this is a and b the distance between points a and b around that circular around the edge of the circle is s s is the arc lift the distance between c and b is the radius which is the same as from c and a so the arc length s is equal to the angle in radians times the radius so for example lets say if we have an angle of 5 radians and a radius of 12 feet what is the arc left so imagine a picture where r is 12 feet and the angle is 5 radians so this is about 5 radians keep in mind 6.28 radians is a full circle 3.14 radians is half a circle so 5 radians is more than half a circle so we want to find the distance between these two points around this portion of the circle