Question

Find the area under one arch of a cycloid described by the parametric equations x = 3(20 - sin 20) and y = 3( I - cos 20). Use 0 and π for the limiting values of θ . A. 27 π B. 36 π C. 18 π D. 9 π

Answer 1

The parametric equations seem to describe a circle of radius 3. Its area will be
  A = πr² = π·3²

The appropriate choice seems to be
  D. 9π