If a square with sides of 14 inches is inscribed in a circle, what is the diameter of the circle?

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09-09-2022
Mathematics

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If a square with sides of 14 inches is inscribed in a circle, what is the diameter of the circle?

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QWTiffany QWTiffany · Answer 1 · 2022-09-12T10:43:39-04:00

The diameter of the circle is 19.8 inches.

We are given the value of side of square in the question. The diameter of the circle will be equal to the diagonal of square. The diagonal of square can be calculated using Pythagoras theorem. So, finding the diagonal of square, which will be hypotenuse.

Diagonal² = Base² + Perpendicular²

Diagonal² = side² + side²

Keep the values to find the value of diagonal

Diagonal² = 14² + 14²

Take square of values on Right Hand Side of equation

Diagonal² = 392

Diagonal = √392

Taking square root on Right Hand Side of equation

Diagonal = 19.8 inch

So, diagonal of square is diameter of circle which is 19.8 inches.

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