When you go to school, you know that there r two kind of measure of an angle. Degree and radian. For some reason, i like to used degree. Because its visual intuitive, and give me more 'real' story on studying angles. International standard takes radian as the standard measure of degree. Its because radian had some advance.
Radian itself define as a ratio between the length of an arc and its radius. So the main advance is arc length. Ratio between arc and circumstance of a circle is equal to ratio between the central angle and 360 degree angle.
arc(AB) : 2(phi)R = deg(x) : deg(360)
arc(AB) = 2(phi)/deg(360) . deg(x) . R
if y is representative of x on radian, then the equation become
arc(AB) = y.R
so, Given a circle with radius R, length of an arc AB on the circle equal to the multiplication of the radius R and its central angle on radian measure.
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