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what is the formula for finding the length of an arc. Well of course it is but its nice that we came up with the right answer. Recall that 2pR is the circumference of the whole circle so the formula simply reduces this by the ratio of the arc angle to a full angle 360.
Arc measure arc length radius s r a r c m e a s u r e a r c l e n g t h r a d i u s s r. To see why this is true lets argue in two ways. Then multiply that number by the radius of the circle.
The ratio of the angle ACB to 360 degrees will be 100360 518.
Whenever you want to find the length of an arc of a circle a portion of the circumference you will use the arc length formula. Curves with closed-form solutions for arc length include the catenary circle cycloid logarithmic spiral parabola semicubical parabola and straight line. The circumference of a circle is pd which in this case is 9p or 2826 units. S 3 2 1 So the arc length between 2 and 3 is 1.