From a circle of radius 7 cm the largest possible square is cut and removed Find the area of the remaining portion (in cm$\displaystyle ^{2}$)

The diagonal of the largest square inscribed in a circle equals the circle's diameter, so the diagonal is 14 cm. Using the area of a square formula based on its diagonal, Area equals diagonal squared divided by 2, the square's area is 14 squared divided by 2, resulting in 98 square cm. The area of the circle is pi times 7 squared, which is 154 square cm. Subtracting the area of the square from the circle's area gives a remaining portion of 154 minus 98, which equals 56 square cm.

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