Find the area of the region ABCDEFA shown in the given figure, given that ABDE is a square of side 10 cm, BCD is a semicircle with BD as diameter, EF = 8 cm, AF = 6 cm and ∠AFE = 90°.
Join AE.
Now, AEDB is a square.
Area of the square = =
Area of semi-circle = =
Area of EFA =
Area of the region ABCDEFA = Area of the square + Area of the semicircle Area of EFA
= 100 + 39.25 24
= 115.25 sq. cm