Polygon area = [circumradius^2 * # sides * sine (360/# sides)] / 2 small hexagon area =[5^2 * 6 * sine (60)] / 2 small hexagon area =[25 * 6 * 0.86603] / 2 <span><span>small hexagon area = 64.95225
</span>
sq feet </span> large hexagon area =[10^2 * 6 * sine (60)] / 2 large hexagon area =[600 * 0.86603] / 2large hexagon area =
<span>
<span>
<span>
259.809 </span></span></span>sq feet
Area of shaded region = large hexagon area -small hexagon areaArea of shaded region = <span>
<span>
259.809</span> -</span>64.95225
<span>Area of shaded region =
194.85675 </span><span>sq feet </span> Source:http://www.1728.org/polygon.htm
