area of smallest square that can circumscribe a circle of 1386 sq cms is
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Since the diameter of the circle will be equal to a side of square, let us take the length of the diameter as “x”.
Area of a circle = 1386
Area of a circle = (22÷7) X (radius) X (radius)
1386 = (22÷7) X (radius)ˆ2
1386X7 = (22) X (radius)ˆ2
9702÷22 = (radius)ˆ2
441 = (radius)ˆ2
Radius = 21 (441 is the square of 21)
Since, diameter ( x ) is double the radius, we will multiply radius ( 21 ) by 2. So diameter = 42 cms.
Side of a square = 42 cms.
area of a square = side X side = 42 X 42
= 1,764 square cms.
Area of a circle = 1386
Area of a circle = (22÷7) X (radius) X (radius)
1386 = (22÷7) X (radius)ˆ2
1386X7 = (22) X (radius)ˆ2
9702÷22 = (radius)ˆ2
441 = (radius)ˆ2
Radius = 21 (441 is the square of 21)
Since, diameter ( x ) is double the radius, we will multiply radius ( 21 ) by 2. So diameter = 42 cms.
Side of a square = 42 cms.
area of a square = side X side = 42 X 42
= 1,764 square cms.
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