Question

find the area of the shaded region with the help of the given figure

Answer 1

find BC (PYTHAGORUS THEORAM )
FIND AREA OF SEMICIRCLE CIRCLE
THEN OTHER 2 SEMI CIRCLE
SUBTRACT IT WITH SMALLER ONE BY ONE

Answer 2

here's your answer
area of shaded portion=
(area of triangle ABC +area of semicircle AB + area of semicircle AC )-area of semicircle BC
=(6+3.5325+6.28)-9.8125
=15.8125-9.8125
=6sq.cm

THEREFORE,
$area \: of \: shaded \: region \\ = 6 {cm}^{2}$