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21.21 feet

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Q: If a circle has the diameter of 30 feet what is the largest square that can fit inside?
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What is the diameter of the largest circle that will fit inside 14 inch box?

Assuming that the 14 inch box is square, you could fit a circle inside with a 14 inch diameter.


What is the perimeter of the largest rectangular in circle?

The largest diameter you can inscribe in a circle is a square. The square's diagonal is equal to the diameter of the circle; the length of the side of the square is therefore equal to the circle's diameter, divided by the square root of 2.


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

The diagonal of the square.


How do you find the radius of a circle inside a square?

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If the circle inscribes the square, the diameter equals the square's side length. In this case, 16mm.


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The diameter length of the circle would be the same as the side length of the square. If a is the side of the square, then the radius is a/2, and the area of the circle would be (1/4)(pi)(a^2).


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

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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If a square is inside a circle and you know the area of the square how do you find the diameter of circle?

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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.


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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).


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