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17. Acircularfield has a perimeter of 650 m. A plot, inthe shape of a square having its vertices on thecircumference of the field, is marked in the field.Calculate the area of the square plot.Take π=(ICSE)

Answer»

the square is inscribed in the circle.Circumference of circle = 2πr650 = 2*22/7*rr = (650*7)/44r = 103.409 mAs the diagonal of the square plot is the diameter of the circle.hence, r× 2 = dso, Diameter = 103.409*2Diameter of circle = 206.818 m = Diagonal of square plotNow,Area of the square plot = 1/2× d²= 1/2× (206.818)²= 1/2× 42773.68Area of the square plot = 21386.84 sq mAnswer.



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