Q: How is a circle and square the same?

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The same as half the side of the square, as the radius of the circle is half its diameter, and the diameter of the circle is equal to the side of the square.

It depends on the diameter of the circle and the width of the square, if they are the same then the answer is no. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.

If the circle touches each edge of the square then its diameter is the same as the side of the square and its circumference is pi times the diameter.

This depends on the circle you're talking about. A theoretical circle and square most certainly could have the same area. If the circle's radius is 1, then the square's length and width would be √π. The problem here is actually in creating such a measurement in a finite number of steps. Because pi is a transcendental number, that is not possible.

A circle or a square.

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It means that if you take a circle and find its area, you must now find a square with the same area. We cannot square the circle.

The same as half the side of the square, as the radius of the circle is half its diameter, and the diameter of the circle is equal to the side of the square.

It depends on the diameter of the circle and the width of the square, if they are the same then the answer is no. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.

It is not. If you draw yourself a square then inscribe a circle with a radius of half the length of a side of the square, the circle will fit inside the square but the corners of the square will be outside the circle. Thus by inspection the area of the square is larger than the area of the circle.

If the diameter of the circle car is the same as the side of the square car, the square car has less resistance as the circle one and is therefore faster.

If the circle touches each edge of the square then its diameter is the same as the side of the square and its circumference is pi times the diameter.

A circle with a radius of 2 units has an area of 12.57 square units.

If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.

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This depends on the circle you're talking about. A theoretical circle and square most certainly could have the same area. If the circle's radius is 1, then the square's length and width would be √π. The problem here is actually in creating such a measurement in a finite number of steps. Because pi is a transcendental number, that is not possible.

A circle or a square.

Finding a circle with the same area as a square is known as squaring the circle. It has been proven to be impossible. (this was done in 1882) I have included some references as links to explain why this cannot be done. If you have a circle inscribed a square, then its radius is 1/2 of the side length of the square or its diameter is the length of a side. If this is what you mean then the ratio of the side of the square to the radius of the circle is 1 to 1/2 or 2 to 1.