In Fig. 4, ABCD is a trapezium with AB || DC and BCD = 30°. If BGEC is a sector of a circle with center C and AB = BC = 7 cm, DE = 4 cm and BF = 3.5 cm, then find the area of the shaded region (use ).

(Fig. 4)

Question

Philoid · Accepted Answer

.

Given:

AB = BC = 7 cm

DE = 4 cm

DF = 3.5 cm

CD = DE + EC = 11 cm

Area of Trapezium ABCD = × Sum of Parallel Sides × Height

Area of Trapezium ABCD =

Area of shaded region = Area of Trapezium ABCD - Area of sector CBE

Answer: Area of Shaded region = 18.67 cm²

In Fig. 4, ABCD is a trapezium with AB || DC and BCD = 30°. If BGEC is a sector of a circle with center C and AB = BC = 7 cm, DE = 4 cm and BF = 3.5 cm, then find the area of the shaded region (use ).(Fig. 4)