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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 else can I help you with?
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 is the ratio of the areas of an equilateral triangle and a circle if their perimeters are same?
It is 0.6046 : 1 (approx).
How much is the area of a circle with a diameter of 5cm than a circle with a diameter of 2 cm?
The ratio of areas is the square of the ratio of the sides. Ratio of sides is 5:2, so ratio of areas is 52:22 = 25:4 So the larger circle has an area that is 25/4 = 61/4 (= 6.25) times the area of the smaller circle. The difference in areas is given by taking the area of the smaller circle from the area of the larger circle. area_circle = π x radius2 radius = diameter/2 larger_area = π x (5/2)2 cm2 smaller_area = π x (2/2)2 cm2 ⇒ difference = larger_area - smaller_area = (π x 25/4 - π) cm2 = 21π/4 cm2 ≈ 16.49 cm2
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.)
The ratio of surface areas of two similar solids is equal to the square of the ratio between their corresponding edge lengths.?
The statement is true.
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 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.
How do you find the ratio of a circle inscribed a rhombus?
A rhombus is a flexible shape which can range from almost a square to a very narrow shape. A rhombus with sides of x cm can contain a circle with any radius less than x/2 cm. The information in the question is insufficient to determine the radius. And a ratio requires some characteristic of the inscribed circle to be compared to an analogous characteristic of another shape.
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.
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
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 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
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 the area of the circumscribed square to the area of the inscribed square?
If we denote the measure of the length side of the circumscribed square with a, then the vertexes of the inscribed square will point at the midpoint of the side, a, of the circumscribed square.The area of the circumscribed square is a^2The square measure of the length of the inscribed square, which is also the area of this square, will be equal to [(a/2)^2 + (a/2)^2]. Let's find it:[(a/2)^2 + (a/2)^2]= (a^2/4 + a^2/4)= 2(a^2)/4= a^2/2Thus their ratio is:a^2/(a^2/2)=[(a^2)(2)]/a^2 Simplify;= 2
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).
What the ratio of the area of circle to the area of square in simplest form?
12
What is the scale factor of 9 square cm and 900 square cm?
10Scale factors are based on linear measures. The ratio of areas is the square of the rations of lengths. The ratio of the areas is 900/9 = 100, so the ratio of lengths is the square root of100 = 10.
