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The diameter of the circle is congruent to the length of the diagonal of the inside square. If you know the length of one side of the square, you can use pythagorean's theorem to solve for its diagonal (hypotenuse) and thusly the square's diameter.

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Q: If a square is inscribed in a circle the diameter of the circle is congruent to?
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Related questions

A circle inscribed in a square its diameter is congruent to?

Its diameter is congruent to a side of square.


If you have a square inscribed in a circle what is the diameter of the circle congruent to?

The sides of the Square.


If you have a circle inscribed in a square what is the diameter congruent to?

The diameter of the circle equals the length of a side of the square


A square is inscribed in a circlethe diameter is congruent to?

the side of the square


If a square is inside a circle what is the diameter of the circle congruent to?

The diagonal of the square.


How do you work out the area of a circle in a square?

The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.The formula for the area of a circle is pi x radius2. The radius is half the diameter, and the diameter of an inscribed circle is the same as the length of a side of the square.


A square is incribed in a circlethe diameter of the circle is congruent to?

The diameter of the circle is equal to the diagonal of the square, or the (side of the square) times the (square root of 2).


Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius a?

The largest rectangle would be a square. If the circle has radius a, the diameter is 2a. This diameter would also be the diameter of a square of side length b. Using the Pythagorean theorem, b2 + b2 = (2a)2. 2b2 = 4a2 b2 = 2a2 b = √(2a2) or a√2 = the length of the sides of the square The area of a square of side length b is therefore (√(2a2))2 = 2a2 which is the largest area for a rectangle inscribed in a circle of radius a.


What is a cynosure of Pi?

A circle with a diameter of 2 is the guiding cynosure when Pi is the square of all possible circles: If the square root of Pi defines the side of a square and that square can be inscribed within a circle or enclose a circle, then the diameters of all possible circles between the largest and smallest include the circle of which Pi is its perfect square (a diameter of 2).


Can a circle be inscribed in a square?

Yes.


What is the area of a square with a circle of a radius of 5 inches?

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.


Can a square always be inscribed in a circle?

yes