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Area of square inscribing a circle.

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The area of a circle which is inscribed in a square is 169pi. What is the area of the square?

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https://brainmass.com/math/geometry-and-topology/area-of-square-inscribing-a-circle-35571

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The area of the circle is given by pie x R^2 where R is the radius of the circle. hence
pie x R^2 ...

Solution Summary

The area of a circle inscribed in a square is given and the are of the square is calculated.

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Infinite Geometric Series: Square Inscribed in Circle Radius

A square is inscribed in a circle of radius 100. The area of that circle which lies outside of the square is shaded. Another circle is inscribed in the square, and then a second square is inscribed in that second circle. The area of the second circle which lies outside of the second square is shaded. This process is continued to infinity. What is the sum of all of the shaded areas? How do I find this?
First Area w/ following:
Radius of circle - 100
Side of - __________
Area of - ______________
Area of ________________
Difference ______________
Second Area - ?
Radius of circle - ?
Side of - ?
Area of - ?
Area of - ?
Difference - ?
Third area - ? (as above) & Fourth area - ?
Each new area is ___________of the previous area.

_____________Sum of areas (shaded areas).

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