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Assuming the circle is tangent to the sides of the square, then the edges of the circle meet the square at the midpoint on each of the four sides. So the diameter of the circle is the same as the length of a side of the square.

So all you need to do is find the length from the total area by taking the square root of the area (since A = s2), which gives you the diameter, then halve it to get the radius.

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Q: What is the raduis of a circle that is inside a square with an area of 400 cm?
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