1 Find the equations of the circle and the line shown in the graph.

2 Calculate the perimeter of the shape using pre-calculus formulas. Show supporting

work.

3 Calculate the perimeter of the shape using integration. Show all supporting work.

4 Find the center of mass of the shape. Note that you will need to find the center of

mass of the region above the x-axis and the region below it. You can then add the

coordinates of each to find (x,y) for the entire shape.