A restaurant POQR is being constructed in the middle of a circular lake. The circle, which has its center at O is touching the mid-points of the boundary ABCD as shown in the figure. AB=CD and AD=BC. If BC=8 cm, then the area of AQOP is
14× Area of ABCD
Given, BC = 8 cm
⇒AB=8 cm[∵AB=BC]
Now, AP=12AB=4 cm
∴ Area of AQOP = 4×4=16 cm2
and area of ABCD= 8×8= 64 cm2
⇒Area of AQOPArea of ABCD=1664=14
⇒Area of AQOP=14×Area of ABCD