Q: What the ratio of the area of circle to the area of square in simplest form?

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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.

The ratio is pi/4.

1/3.15159

There is no direct ratio. The area is related to the square of the radius by the factor "pi." A = (pi) r2 (Pi is about 3.1416)

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

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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.

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

1/3.15159

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.

By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.

There is no direct ratio. The area is related to the square of the radius by the factor "pi." A = (pi) r2 (Pi is about 3.1416)

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.)

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

In ratios, the ratios of areas is the square of the ratio of sides. Consider the original circle and the new larger circle formed by multiplying its radius (length) by 3: The circles have lengths in the ratio 1 : 3 → the circle have areas in the ratio 1² : 3² = 1 : 9 → The larger circle's area is 9 × 120 mm² = 1080 mm²

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

It depends on the ratio of what of the circle? Its circumference, diameter, area?