A coin rolls in the interior of a square along its sides without slipping. When the coin has returned to its starting position, it has made 1 whole revolution. If the coin’s radius is 1, what is the side length of the square?
A regular hexagon with side length 2 has semicircles constructed in its interior of each side. What is the shaded area inside the hexagon not covered by the semicircles?
The ratio between the exterior angle and the interior angle of a regular polygon is 2 : 3 . Find the number of sides of the polygon.
Suppose ABCD is a square. Let E be interior to the square such that EDC = ECD = 15°. What is the measure of angle EBC?
