The curve traced out by a point P on the circumference of a circle as the circle rolls along a straight line shown in y P is called a Cycloid and the shaded region is the region, A, below an arch. If the circle has radius R, the cycloid is given parametrically by x(t) = R(t - sint), y(t) = R(1 - cost) . Find the area of A when R = 1. 1. area(A) = 27 2. area(A) = 5T 3. area(A) = 37 4. area(A) = 67 5. area(A) = 4T