A letter C is in the form of a sector from a unit circle from which a smaller concentric circle has been removed. The goal in each case is the have the center of gravity at the inner edge of the letter.
Case 1: Find the angle of the sector if the inner radius is .5
Case 2: Find the inner radius if the angle of the sectors is 270 degrees.
The center of gravity or centroid of a sector can be found using a formula given here:
http://mathworld.wolfram.com/CircularSector.html
Case 1: The required angle of the sector is approximately equal to 3.1107409 tadians ( ~= 178.232328 dehrees)
Case 2: The required inner radius is approximately equal to 0.20718444 radians.
Edited on June 15, 2022, 10:32 pm
Puzzle Answer
