आकृति में, दिये छायांकित भाग का क्षेत्रफल ज्ञात कीजिए।

Join $JK , KL , LM$ and $MJ ,$

Their are four equally semi-circles and $LMJK$ formed a square.

Their are four equally semi-circles and $LMJK$ formed a square.

$\therefore$ $F H=14-(3+3)=8\, cm$

So, the side of square should be $4 cm$ and radius of semi-circle of both ends are $2 \,cm$ each.

$\therefore$ Area of square $J K L M=(4)^{2}=16 \,cm ^{2}$

Area of semi-circle $HUM$ $=\frac{\pi r^{2}}{2}$

$=\frac{\pi \times(2)^{2}}{2}=2 \pi \, cm ^{2}$

Area of four semi-circle $=4 \times 628=25.12 \,cm ^{2}$

Now, area of square $A B C D=(14)^{2}=196\, cm ^{2}$

Area of shaded region $=$ Area of square $A B C D$ $-$ [Area of tour semi-circle $+$ Area of square $J K L M]$

$=196-[8 \pi+16]=196-16-8 \pi$

$=(180-8 \pi) \, cm ^{2}$

Hence, the required of the shaded region is $(180-8 \pi) \, cm ^{2}$.