How long should be the smallest side of a square from which a 5024 mm2 circle can be cut?

1) Find the radius of a circle with an area of 5024 mm2 using the formula for the area of a circle. If the area of a circle is equal to the product of the number п and the radius in the square, then the radius is equal to the root of the quotient area and the number п:
r2 = 5024 / 3.14;
r2 = 1600;
r = 40 mm.
2) The side of the square into which this circle can be inscribed is equal to its two radii – 40mm * 2 = 80 mm – this will be the side of the square from which a circle with an area of 5024 mm2 can be cut.
Answer: 80 mm.



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