Given a circle with radius 1 unit and center at (0,0). A rectangle is inscribed inside the circle such that one of its sides is parallel to the x-axis and crosses the y-axis at y. Express the folowing as functions of x. (a) The perimeter of the rectangle (b) The area of the rectangle
HINT:
Draw a general diagram. Draw a radius to one of the verticies of the rectangle. Note that the rectangle will be symmetrical about both axes. Use your knowledge of triangles to solve for (a) and (b), in terms of x.