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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.

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โˆ™ 2014-08-26 21:56:47
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Q: What is the ratio of the area of a circle to the area of a square?
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What is the ratio of the area of a circle to the area of a square drawn around that circle?

The ratio is pi/4.


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

1/3.15159


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


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

12


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.


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

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.)


How do you find the area of a circle when the radius is unknown?

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.


What is the ratio of the square's area to the circle's area if the square and circle have equal perimeter?

The square has perimeter Ps equal to 4L (where L is the side length of the square) and L equal to √(As) (where A is the area and subscript 's' indicates we are talking about the area of the square). From this we can rearrange to 4√(As). The circle has perimeter Pc equal to π(2R) (where R is the radius of the circle) and R equal to √(Ac/ π) (where subscript 'c' indicates we are talking now talking about the area of the circle) or, the square root of the circle's area divided by pi. From this we can rearrange to 2π√(Ac/ π). Since we know the perimeters are equal, Ps = Pc; we can then put the right sides together to get 4√(As) = 2π√(Ac/ π). Through rearranging of this equation, we can reduce to 4As = πAc. As a ratio, this comes down to As:Ac à π:4.


What is the ratio between radius and area for a circle?

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)


If the radius of a circle with an area of 120 mm squared is multiplied by 3 what is the area of the new circle?

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


If a equals mc2 what does pie mean?

Pi is a Greek mathematical constant whose value is the ratio of any circle's circumference to its diameter in Euclidean space; this is the same value as the ratio of a circle's area to the square of its radius.


What is the ratio between side of a square and radius of circle whose areas are same?

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.


What is pi made of?

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


What happens to the area of a circle if the diameter is quadrupled?

If the diameter of a circle is quadrupled, the circle's area goes up 16 times as area is proportional to diameter squared. Remember area = pi /4 times diameter squared -------------------------------------------------------------------------- In any ratio of shapes: whatever the ratio of the lengths, the ratio of the areas is the square of that ratio. In this case, the ratio is 1:4, so the areas are in the ratio of 1²:4² = 1:16; ie as the length of the diameter is quadrupled (ratio 1:4), the area becomes 16 times bigger (1:16).


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.


Inside a circle a square is inscribed what is the ratio of areas of the square to that circle?

First we need to find the relationship between the length of a square side (x) and the radius of the circle (r). The radius of the circle is half of the diagonal of the square. Thus the length of the diagonal is 2r. Using the Pythagorean theorem, we can look at the square as two triangles where the diagonal of the square is the hypotenuse, and find the length x of the sides. The Pythagorean theorem states that a2 + b2 = c2 for a right triangle, where c is the hypotenuse, and a and b are the other side. Since it is a square, we know a=b and thus a2 = b2. Thus we get 2a2=c2. Since we know that c = the diagonal of the square = 2r and we defined the side of the square's length as x, we get: 2x2 = (2r)2 = 4r2 thus x2=2r2 We'll get back to that in a sec. We know the area of the circle is πr2, and the area of the square is x2, but we want these in terms of the same variable to compare them. From above, we saw that x2=2r2, so now we know that the area of the square = 2r2 To find the ratio of the square's area to the circle's area, we look at the area of the square over the area of the circle: (2r2)/(πr2) = 2/π Thus the ratio is 2/π.


What is the ratio of a circle with a radius of 8cm?

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


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


How do you know what the square feet is if 213 is the perimeter?

More information is needed. For the same perimeter, the area will vary, depending on whether you have a circle, a square, a rectangle with a ratio of 2:1, a rectangle with a ratio of 3:1, etc.


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.


What is the perimeter of 1200 square meters?

You can't calculate the perimeter from the surface area, if you don't know what figure you are talking about. For example, the answer will be different for a circle, for a square, for a rectangle with a 2:1 side ratio, for a rectangle with a 3:1 ratio, for different ellipses, for a five-pointed star, etc.


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.


A square is inscribed in a circle of radius 7cmFind the area of square and the area shaded?

The area of the square is 98 square cm. Assuming the shaded area is the remainder of the circle, its area is 55.9 square cm (approx).


What is the area in square feet of a 70 foot circle?

The area of any circle is determined by the formula: A = πr2 where A is the area, π is "pi", the ratio of a circle's circumference to its diameter (approximately 3.1416), and r is the radius of a circle, or half its diameter. If your diameter is 70 feet, the radius is 35 feet. So, ... A = πr2 = (app) 3.1416 x 352 = (app) 3,848 square feet, or about 0.09 acres.


The ratio of the area to the xircumference of a circle is 5/4. What is the circumference of the circle?

1.25