a circular field has a perimeter of 650 m.A plot in the shape of a square having its vertices on the circumference of the field is marked in the field. calculate the area of the square plot
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Answer:
perimeter of circle = 2 x pi x r = 2x22/7xr = 650, r = 650 x 7 / 44=325 x 7/22
diameter of the circle = 2r = 2 x 650 x 7 / 44 = 325 x 7 / 11
but dia of the circle is also = diagonal of the square = 325 x 7 / 11
now we know that sides of the square = ( side) 2+ (side)2= (diagonal)2
2 (side)2 = (diagonal)2
side = diagonal / root 2
area of square = (side)2 = (diagonal)2 / 2
= (325 x 7 / 11)2/2
= 21302 m2
Step-by-step explanation:
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