The formula for finding the length of an arc on a circle is L=2πr(x360) , where r is the radius of the circle and x is the measure of the central angle of the arc. Solve for r.

Answer 1

r= L/720x when L=2pir(x360)= 720xpir

divide both sides by 720xpi

L/720xpi = r

r = L/720xpi but something is wrong with the given formula, misprint or typo maybe

x =central angle, L = Length of arc, pi=about 3.141593, r= circle's radius

correct arc Length formulas are:

L = pirx/180 if x is in degrees, then r = 180L/pix

L = rx if x is in radians then r = L/x