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Q149 The perimeter of a circle and square are equal The ratio of their area is?
Wiki User
∙ 14y ago
Equal perimeters:
2 pi R = 4 s
pi R = 2 s
s = pi R / 2
Ratio of areas:
pi R2 / s2 = (4 pi R2) / (pi2 R2) = 4 / pi
= 1.2732 (rounded)
The area of the circle is [ (4/pi) x (area of the square) ].
Wiki User
∙ 14y ago
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What is the ratio of the area of a circle to the area of a square?
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.
What is the perimeter of a semi circle?
The perimeter of a full circle is 2*pi*r. Where, pi is the mathematical constant that is the ratio of any circle's circumference to its diameter, approximately equal to 3.14, and r is the radius of the circle. The perimeter of a semi circle, assumed to be half of a full circle is pi*r where pi and r are previously defined.
What is the perimeter of a perfect circle?
The measure around a circle is called a circumference, rather than a perimeter. The term "perimeter" is used for polygons. The circumference of a circle is equal to the diameter, multiplied by pi - or to the radius, multiplied by 2 x pi. The number pi - which can be defined precisely as the ratio between the circumference and the diameter of a circle - is approximately 3.1416.
What shape has the highest surface area to perimeter ratio?
circle
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 of the area of a circle to the area of a square?
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.
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.
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.
What is the perimeter of a semi circle?
The perimeter of a full circle is 2*pi*r. Where, pi is the mathematical constant that is the ratio of any circle's circumference to its diameter, approximately equal to 3.14, and r is the radius of the circle. The perimeter of a semi circle, assumed to be half of a full circle is pi*r where pi and r are previously defined.
What is the ratio of the length of the side of a square to it's perimeter?
its 1:4. Perimeter = sum of length of all sides. squares have 4 equal sides.
What is the perimeter of a perfect circle?
The measure around a circle is called a circumference, rather than a perimeter. The term "perimeter" is used for polygons. The circumference of a circle is equal to the diameter, multiplied by pi - or to the radius, multiplied by 2 x pi. The number pi - which can be defined precisely as the ratio between the circumference and the diameter of a circle - is approximately 3.1416.
What shape has the highest surface area to perimeter ratio?
circle
How much fence do you need for perimeter fence 8 acres?
The perimeter, for a given area, varies depending on the shape. It is different, for example, for a circle, for a square, and for rectangles of different length/width ratio.
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.
Pi is a mathematical constant related to circle define Pi?
Ratio of the perimeter of a circle (circumference) to its diameter
If two polygons are similar then the ratio of their perimeter is equal to the ratios of their corresponding sides lenghts?
If two polygons are similar then the ratio of their perimeter is equal to the ratios of their corresponding sides lenghts?
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.
