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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.

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Q: Why can a circle not have the same area as a square?
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Is the area of a circle bigger than the area of a 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.


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.


What is the raduis of a circle that is inside a square with an area of 400 cm?

Assuming the circle is tangent to the sides of the square, then the edges of the circle meet the square at the midpoint on each of the four sides. So the diameter of the circle is the same as the length of a side of the square. So all you need to do is find the length from the total area by taking the square root of the area (since A = s2), which gives you the diameter, then halve it to get the radius.


What is the area 8 feet square circle?

There is no such thing as a "square circle". If you mean "8 square feet", that is already the area.


What is the Formula for the area of a Square and a Circle?

Area of a square = side squared Area of a circle = pi times radius squared

Related questions

What dose it mean to square a circle?

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.


Is the area of a circle bigger than the area of a 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.


Why is the area of a circle bigger than a square with the same perimeter?

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.


What is the area of a circle and the radius2 for the same circle?

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


How find the area of a square when a circle is inside?

You find the area of the whole square first. Then you find the area of the circle inside of it And then subtract the area of the circle from the area of the square and then you get the shaded area of the square


What is the area of the largest circle that fits inside a square with 4 sides?

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).


How do you find the area of a square with a semi-circle?

You add the area of the square with the area of the semi circle.


The circle's diameter is 6 in what is the circle's area in square inches?

The circle's area is: 28.27 square inches.


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.


What is the ratio of the area of a circle to the area of a square when one side of the square is the radius of the circle?

Let's call the number 'K' ... the side of the square and the radius of the circle.-- the area of the square is [ K2 ]-- the area of the circle is [ (pi) K2 ]-- The ratio of the circle to the square is [(pi) K2 / K2 ] = pi


Same perimeter different area?

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)


For a circle inscribed in a square what is the ratio of their areas?

For a circle inside a square, the diameter is the same as the side length, and the area of the circle is about 78.54% of the square's area (pi/4). A(c) = 0.7854 A(s) The area of the square is L x L. (For a square, L = W). The area of the circle is PI x R^2, where R = L/2. Let's express the area of the square using A = L x L = (2R) x (2R) = 4 R^2 So, the ratio of the area of the circle to that of the square is: pi/4 or about 0.7854.