2 semicircles are shown. The smaller semicircle is inside of the larger semicircle. Point G is the center point. Lines B G and C G are radii of the larger semicircle. Line B G intersects the smaller semicircle at point H and line C G intersects the smaller semicircle at point I. The distance between the smaller semicircle and the larger semicircle is 3 feet. Arc B C measures 45 degrees. The area between arcs B C and H I is shaded.
The window shown is the shape of a semicircle with a radius of 6 feet. The distance from F to E is 3 feet and the measure of Arc B C = 45°. Find the area of the glass in region BCIH, rounded to the nearest square foot.