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# square area to circle

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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
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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
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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