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if the area of a square is 196 decimeters squared, then what's the area of the inner circle?

 Jan 17, 2023
edited by Guest  Jan 17, 2023
 #1
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Presumably by "outer circle" you mean a circumscribing circle that just touches the four corners of the square.

If the area of the square is 196 decimeters squared, then the side length is \(\sqrt{196}\) or 14 decimeters, which means the diagonal of the square is \(14\sqrt2\)decimeters, which means half the diagonal is \(7\sqrt2\) decimeters.  Since the radius of the circumscribing circle is equal to half the square diagonal, I'm sure you can work out the circle area from here.

 Jan 17, 2023
 #2
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im sorry, but I made a mistake when writing the question, you answered the question which was unedited. May I plase get an answer to the new edited question?

Guest Jan 17, 2023
 #3
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The radius of the inner circle is just half of the side length of the square, so you should still be able to calculate its area!

Alan  Jan 18, 2023

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