The ratio is pi/4.
Circle and square are two entirely different shapes. But the ratio of areas of square to circle if their perimeter is equal is pi/4.
It is approx 39.31 square cm.
1/3.15159
12
The diameter of a circle is the length of a straight line segment going through the circle and with endpoints on the circle itself. A ratio is a comparison of two numbers using the operation of division. That means that there is no such thing as the ratio of a circle. However, there is a ratio of the circumference of the circle (the length of the path around the circle) and its diameter. That ratio has the value pi, which is about 3.141592653589793...
Circle and square are two entirely different shapes. But the ratio of areas of square to circle if their perimeter is equal is pi/4.
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
It is approx 39.31 square cm.
1/3.15159
12
The diameter of a circle is the length of a straight line segment going through the circle and with endpoints on the circle itself. A ratio is a comparison of two numbers using the operation of division. That means that there is no such thing as the ratio of a circle. However, there is a ratio of the circumference of the circle (the length of the path around the circle) and its diameter. That ratio has the value pi, which is about 3.141592653589793...
pi is the square root of ten ---------- Incorrect. Pi is the mathematical ratio between the circumference and the diameter of a circle. Coincidentally, it is also the ratio between the area of a circle and the square of its radius. The square root to 10 is ~3.16227766, while Pi is ~3.1415926535897932
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.
Given: a square with side = s and a circle with radius = s (radius is equal to the length of the side of the square) Areasquare = side squared = s2 Areacircle = pi times the square of the radius = pi times s2 Areasquare : areacircle = s2 : pi s2 = 1 : pi (The ratio is one to pi.)
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.
If you draw a circle and then create a square around it so all four sides touch, pi is the number that represents the ratio of the sizes of the two shapes.
pi is the ratio of a circle's diameter (the distance across it) to its circumference (the distance around it).