Area of unshaded region = Area of Chord (1) + Area of smaller sector(2) + Area of unshaded region (3)
Area of chord (1) =Area of sector - Area of shaded triangle
Area of sector = (108/360)*π*12*12 = 43.2π
Area of shaded triangle:
Angle between sides of triangle: 180 - 72 = 108 degrees.
Area of triangle = 0.5 * 12 *12*sin108°= 72sin108°
<span>Area of chord (1) =Area of sector - Area of shaded triangle </span> = 43.2π - 72sin108°
Area of smaller sector(2)
Area of sector smaller (2) = (72/360)*π*12*12 = 28.8π<span> </span> <span>Area of region (3) </span> <span>Area of unshaded region (3) = Area of large triangle - Area of smaller sector - Area of shaded triangle. </span> Area of large triangle = 0.5*24*19*sin36°= 228sin36°
<span>Area of unshaded region (3) = Area of large triangle - Area of smaller sector - Area of shaded triangle. </span> = 228sin36° - 28.8π - <span>72sin108° </span> Total unshaded area :
