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Area of Square

In the diagra...

Question

In the diagram, a square $A B C D$ has a side with a length of $6$ cm. Circular arcs of radius $6 c m$ are drawn with centres $B$ and $D$ . What is the area of the shaped region in $s q . c m . ?$

18 π

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36 π

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18 π - 24

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18 π - 36

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Solution

The correct option is C $18 π - 36$
area of sector $B A C = 9 π$
area of sector $D A C = 9 π$
required area
$=$ sum of area of two sectors - area of square
$= (9 π + 9 π) - 36 = 18 π - 36$

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