The radius of the cylinder is related to its circumference by .. C = 2πr .. r = C/(2π) The area of the cylinder base is given by .. A = π*r^2 = π*(C/(2π))^2 = C^2/(4π)
The lateral area of the cylinder is given by .. S = C*h
The total area of the cylinder is the lateral area plus the area of both bases. .. total area = C*h +2*C^2/(4π) .. total area = C*h +C^2/(2π) . . . . . . . . area from circumference and height
