L=nπR/ 180
L=nπ/ 180 × R
l× 180/nπ= nπ/ 180×R× 180/nπ
180 L/nπ=R
R= 180 L/nπ
Extended data:
When studying curves, we always introduce arc length as a parameter, on the one hand, because the general parameter T of curves has no geometric meaning, and on the other hand, because arc length is an invariant of rigid motion of curves, using arc length as a parameter can greatly simplify the formula and easily derive other invariants.
Circle can be said to be a very common figure in geometric figures. Many curve problems can be derived from the circle, and the arc is the simplest one. We can easily make a circle with the geometric sketchpad tool, or we can construct an arc on the circle with the geometric sketchpad.