Melissa has moved to Australia to become an Emu rancher. She has acquired a square plot of land 1 km by 1 km with an emu house located at the center of the southern edge. The emus are outfitted with special tracking devices or may know more than 1 km from the emu house, so the northern border of the ranch has a fence which is part of the circle. Calculate the area within the fence. This area is best expressed as an integral. Make sure you save the integral. It is OK if you use an online resource to calculate the integral, but acknowledge which one you use and give an exact answer is not a decimal approximation.
