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Question
The given figures show a rectangle ABCD inscribed in a circle as shown alongside.
If AB = 28 cm and BC = 21 cm, find the area of the shaded portion of the given figure.
Solution
From the figure,
AB = 28 cm
BC = 21 cm
AC = `sqrt( "AB"^2 + "BC"^2 )`
= `sqrt( 28^2 + 21^2)`
= 35.
Hence diameter of the circle is 35 cm and hence
Area = π x `( 35/2 )^2` = 962.5 cm2
Area of the rectangle = 28 x 21 = 588 cm2
Hence area of the shaded portion is given by
A = 962 - 588 = 374.5 cm2
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