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प्रश्न
In the given figure, a rectangle ABCD is inscribed inside a semi-circle of radius 10 cm. Using the dimensions given in the figure, determine the area of the shaded region.
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उत्तर
From the figure, ABCD is the rectangle inscribed in the semi-circle with centre O.
Area of rectangle ABCD = `l xx b`
= AB × BC
= 14 × 7
= 98 cm2
The radius of semi-circle PABQ = 10 cm
Area of semi-circle PABQ = `1/2πr^2`
= `1/2 xx 22/7 xx (10)^2`
= `2200/14`
= 157.14 cm2
Area of the shaded region – Area of semi-circle PABQ – Area of rectangle ABCD
= 157.14 – 98
= 59.14 cm2
Hence, the area of the shaded region is 59.14 cm2.
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