Question

18. Find the area of the
shaded portion in the figure
given below.
14 cm
14 cm​

Answer 1

TO UNDERSTAND :

• $\bold{area \: of \: square \pink {= s \times s}}$

• $\bold{area \: of \: circle \red{ = \pi{ {r}^{2} }}}$

SOLUTION :

★ total area of the given figure :

$\sf{} = \sf{s \times s} \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 14 \times 14 \\\: \: \: \: \: \: \: \: \: \: \: \: \: \:=196 \: \sf{ {cm}^{2} }$

★ unshaded area of the given figure :

$\sf{} = \sf{ \pi {r}^{2}} \\ \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{22}{7} \times{(\dfrac{14}{2})}^{2} \\ \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{22}{7} \times 49 \\ \\\: \: \: \: \: \: \: \: \: \: = 22 \times 7 \\ \\ \: \: \: \: \: \: \: \: \: \: =154 \sf{ \: {cm}^{2} }$

★ area of shaded part :

$\sf{}= \sf{total \: area - area \:of \: unshaded } \\ \\ =196 - 154 \\ \\ \huge \boxed{ = \sf{42 \: cm}^{2} }$

FINAL ANSWER :

$\bold{\therefore \: area \: of \: the \: shaded \: part \: = {42 \: cm}^{2} }$