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6. The area of the largest possible square inscribed in acircle of unit radius (in sq. units) is |
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Answer» radius of circle=1 unittherefore diameter AB=2x1=2unitslet each side if square=x unitsin right triangle ACBAB²=AC²+BC²2²=x²+x²4=2x²x²=4/2x²=2 unitsorside²=2 unitstherefore area of square=2 unis 2 units is the correct answer of the given question diameter of circle= diagonal of sqlet diameter of circle= 2rarea of circle= 22/7r^2sq unitdiagonal of sq=2rside√2=2rside= 2r/√2= 2√2r/2= √2rarea of sq=(side)^2 = (√2r)^2 =2r^2sq nit |
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