find the area of shaded region from the figure given below
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In the given figure, ABCD is a rectangle.
Given that, AD = 6cm
And DC = 8cm
Then, by Pythagorus Theorem,
AC² = AD² + DC²
= 6² + 8²
= 36 + 64
= 100
AC = √100
AC = 10
AC = Diameter = 10cm
OC = AO = Radius = 10/2 = 5cm
Area of the circle = pie × r²
= 22/7 × 25
= 78.57 cm²
Area of rectangle = l × b
= 8 × 6
= 48 cm²
Area of shaded region = Area of circle - Area of rectangle
= 78.57 - 48 = 30.5 cm²
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