Question

Q. Find the area of the shaded portion in the given figure, if E is the midpoint of AB, AGE and BEF are quadrants and DOC is a semicircle.
(a) 154 cm²
(b) 416 cm²
(c) 284 cm²
(d) 546 cm²​

Answer 1

Answer

Area of shaded region = Area of square − Area of two semicircles

Area of square ABCD =14×14 = 196cm

2

Area of two semicircles = Area of 1 complete circle =

7

22

×7×7 =154cm

2

∴ Area of shaded region = 196−154 =42 cm

2