the form ula for the area of a circle can be found by using a parallelogram. explain the way to derive the formula

Sample response: The circle can be cut into slices, separated, and fit together to form a parallelogram that has the same area. The height of the parallelogram is the radius and the base is half the circumference, which is

Explanation: As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle r and longer side πr - half of the circumference of the circle. Hence we get the formula πr2 for the area of a circle of radius r.