Answer:
Area of the shaded region = 23.33 in²
Step-by-step explanation:
Area of a sector =
Where θ = Central angle subtended by an arc
r = radius of the circle
Area of the sector BCD =
= 52.36 in²
Area of equilateral triangle BCD =
=
= in²
= 43.30 in²
Area of the shaded portion in ΔBCD = 52.36 - 43.3
= 9.06 in²
Area of sector CAD =
= 39.27 in²
Area of right triangle CAD =
=
=
= 25 in²
Area of the shaded part in the ΔACD = 39.27 - 25
= 14.27 in²
Area of the shaded part of the figure = 9.06 + 14.27
= 23.33 in²
