Question

In the figure, ABCD is a square with side 10

unit. BFD is an arc of circle with centre C. BGD is

an arc of a circle with centre A. What is the area

of shaded region ?​

Answer 1

Answer:

Length of Arc BGD= Length of arc BFD

Since AB=BC=10

Construction: Join BD

As the given figure is a square, so area of ΔABD= Area  of  ΔBCD

and Area of Quadrant ABGD= Area  of  Quadrant BCDF

Now, area of shaded region =2(Area  of  Quadrant ABGD− Area  of  ΔABD)

A=2(4πr2−21×b×h)

Here, r=10,b=h=10

Therefore, A=2(25π−50)

So, area of shaded region =50π−100.

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