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प्रश्न
A figure is in the form of rectangle PQRS having a semi-circle on side QR as shown in the figure. Determine the area of the plot.
उत्तर
Given: The rectangle is PQRS, and the semi-circle is OQTR, both drawn on side QR.
Now, Area of the rectangle PQRS = 50 × 28 = 1400 cm2
Radius of the semi-circle, r = `(QR)/2 = 28/2` = 14 cm
So, Area of semi-circle OQTR = `1/2 πr^2`
= `1/2 xx 22/7 xx (14)^2`
= `1/2 xx 22/7 xx 14 xx 14`
= 22 × 14
= 308 cm2
Area of the plot = Area of semi-circle OQTR + Area of rectangle PQRS
= 308 + 1400
= 1708 cm2
As a result, the plot's area is 1708 cm2.
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