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Question
In the given figure, ABCD is a square each of whose sides measures 28 cm. Find the area of the shaded region.
Solution
Let r be the radius of the circle.
Thus, we have:
`r = 28/2 "cm"`
= 14 cm
Now,
Area of the shaded region =(Arae of the square ABCD) - 4(Area of the sector where r = 14 cm and θ = 90°)
`=|(28xx28)-4(22/7xx14xx14xx90/360)|"cm"^2`
`=|784 - 4(154)| "cm"^2`
= (784 - 616) cm2
= 168 cm2
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