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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.

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Q: What is the ratio between side of a square and radius of circle whose areas are same?
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What is the radius of a circle with an area of 100 meters?

It is not possible to have a circle with an area of 100 metres. Areas must be measured in square units, such as square metres. Assuming that the circle had an area of 100 sq metres, its radius would be 5.64 metres (to 2 dp).


What fraction of the area of a circle of radius 5 lies between concentric circles of radius 3 and 4?

The area of a circle with radius 5 is 25 pi. Concentric circles with radius 3 and 4 have areas of 9 pi and 16 pi. The concentric circle with radius four consumes the circle with radius 3. 25 pi minus 16 pi leaves 9 pi of the circle with radius 5 left over. 16 pi is slightly over three-fifths of the circle with radius 5.


What is the area of 2.4 mile circle and how do i figure out areas?

The area of any circle is (pi) times (square of the radius)."Pi" is about 22/7, or 3.1416 .We can't calculate the answer for the given circle, because we're not sure what is meant by"a 2.4 mile circle". Does that mean the radius is 2.4 miles ? The diameter ? The circumference ?


What is the area if the radius is 5 of a rectangle?

The term "radius" only applies to circles, and is half of the circle's width (or diameter). For rectangles, you have a width and a height, and the area is calculated by multiplying width by height. A square's width and height are equal, so if a square is 5" wide, then the area is 25 square inches (25in2). Circle areas are calculated by multiplying the radius by itself, and multiplying the result of that by pi (π), or about 3.14. A circle with a radius of 5" would be 3.14*5*5, or 78.5in2 (78.5398 to be more accurate).


What is the radius of the circle circumscribing an isosceles right triangle having an area of 162 meters?

It is not possible for the area to be 162 metres since areas are NOT measured in metres but in square metres. Assuming that the area was meant to be 162 square metres, the radius is 12.7 metres.

Related questions

What is the relationship between area of a circle and its radius squared for a series of circles with large increasingly large radii?

The area of a circle is directly proportional to the square of its radius. If two circles have radii R1 and R2 , then the ratio of their areas is ( R1/R2 )2


What is the radius of a circle with an area of 100 meters?

It is not possible to have a circle with an area of 100 metres. Areas must be measured in square units, such as square metres. Assuming that the circle had an area of 100 sq metres, its radius would be 5.64 metres (to 2 dp).


How many radius squared areas does it take to fill up a circle?

About 3.14159 of them. (pi) The area of a circle is (pi)r2. The area of the square into which the circle can be inscribed is 4r2 or (2r x 2r).


What fraction of the area of a circle of radius 5 lies between concentric circles of radius 3 and 4?

The area of a circle with radius 5 is 25 pi. Concentric circles with radius 3 and 4 have areas of 9 pi and 16 pi. The concentric circle with radius four consumes the circle with radius 3. 25 pi minus 16 pi leaves 9 pi of the circle with radius 5 left over. 16 pi is slightly over three-fifths of the circle with radius 5.


What is the area of 2.4 mile circle and how do i figure out areas?

The area of any circle is (pi) times (square of the radius)."Pi" is about 22/7, or 3.1416 .We can't calculate the answer for the given circle, because we're not sure what is meant by"a 2.4 mile circle". Does that mean the radius is 2.4 miles ? The diameter ? The circumference ?


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 area if the radius is 5 of a rectangle?

The term "radius" only applies to circles, and is half of the circle's width (or diameter). For rectangles, you have a width and a height, and the area is calculated by multiplying width by height. A square's width and height are equal, so if a square is 5" wide, then the area is 25 square inches (25in2). Circle areas are calculated by multiplying the radius by itself, and multiplying the result of that by pi (π), or about 3.14. A circle with a radius of 5" would be 3.14*5*5, or 78.5in2 (78.5398 to be more accurate).


What is the radius of the circle circumscribing an isosceles right triangle having an area of 162 meters?

It is not possible for the area to be 162 metres since areas are NOT measured in metres but in square metres. Assuming that the area was meant to be 162 square metres, the radius is 12.7 metres.


The area of a circle is the same as the area of a square whose side is 5 centimeters The radius of the circle is closest to?

The area of the square = 52 = 25 sq cm The formula for the area (A) of a circle is A = π r2 Therefore for the areas to be equal then π r2 = 25 : r2 = 25/π = 7.9577 (4dp) Then r = √7.9577 = 2.82 cm The nearest integer measurement of the radius is 3 cm.


Circle A has a radius that is twice the length of circle B What is an accurate statement about the areas of both circles?

Circle A has more area than B


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.


You can see a grey circle with a little white cirle in it with a radius of 3 What is the radius of the diagram's larger circle if the area of the shaded region is 72 pie?

Area of a circle with radius r = pir2Area of the largest circle = Area of the smallest circle + Area of the shaded regionSince areas of the smallest circle and the shaded region are 9pi and 72pi, the Area, A, of the largest circle isA = 9pi + 72pi = 81pi, where r2 = 81.Thus, the radius of the largest circle is 9