**What holds more a square or circle?** The area of a square is s^{2} , where s is the side length. But s = P/4, so the area of a square is P^{2} /16. Since 1/(4π) > (1/16), **the circle** has more area than the square.

## What’s the square root of a circle?

But assuming a circle is represented by the equation x^{2} + y^{2} = r^{2} , the square root is equivalent to **sqrt{r ^{2} } = r** .

## Which shape covers the most area?

The **circle** has the largest area of any two-dimensional object having the same perimeter. A cyclic polygon (one inscribed in a circle) has the largest area of any polygon with a given number of sides of the same lengths.

## How do you turn a circle into a square?

How Do I Convert Diameter to Square Footage?

- Measure the diameter of the circular area in feet using the tape measure. …
- Divide the length of the diameter by 2 to find the radius (12 / 2 = 6). …
- Multiply the radius by itself to square the number (6 x 6 = 36).

## How many circles are in a square?

Circle packing in a square

Number of circles (n) | Square size (side length (L)) | Number density (n/L^2) |
---|---|---|

1 | 2 |
0.25 |

2 | ≈ 3.414… | 0.172… |

3 | ≈ 3.931… | 0.194… |

4 | 4 | 0.25 |

## What is the circle equation?

We know that the general equation for a circle is **( x – h )^2 + ( y – k )^2 = r^2**, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.

## Can a radius be square root?

To find the radius, **divide the area by pi, then take the square root**.

## What is the π?

Succinctly, pi—which is written as the Greek letter for p, or π—is **the ratio of the circumference of any circle to the diameter of that circle**. Regardless of the circle’s size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

## Which shape is the largest?

The shape which has the largest area with a fixed perimeter is **the circle**, in comparison to the triangle, square and other polygons.

## What is the least perimeter?

Since there is no rule that states a rectangle cannot have all sides of equal length, all squares are rectangles, but not rectangles are squares. Hence, the minimum perimeter is **16 in with equal sides of 4 in**.

## Which figure has lowest perimeter?

Among all shapes with the same area, **a circle** has the shortest perimeter.

## How many circles are in a big circle?

Circle packing in a circle

Number of unit circles | Enclosing circle radius | Density |
---|---|---|

1 | 1 | 1.0000 |

2 | 2 | 0.5000 |

3 |
≈ 2.154 … |
0.6466… |

4 | ≈ 2.414… | 0.6864… |

## How are squares and circles the same?

A circle has **infinite number** of small sides like a regular polygon whereas square has only 4 sides. We can find equation of a circle but not of a square.

## What is the diagonal of a 5×5 square?

So, for example, if the square side is equal to 5 in, then the diagonal is **5√2 in ≈ 7.071 in**.

## What does H and K stand for in a circle?

(h,k) **is a point on the circle**. (h,k) is a point that we guess and find. (h,k) is the distance of the circle.

## Is a circle a function yes or no?

If you are looking at a function that describes a set of points in Cartesian space by mapping each x-coordinate to a y-coordinate, then **a circle cannot be described by a function** because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.

## What is C in equation of circle?

For example, the equation of a circle with centre (3, 0) and radius 4 units is (x – 3)^{2} + y^{2} = 16. The General Form of the equation of a circle is x** ^{2} + y^{2} + 2gx +2fy + c = 0**. The centre of the circle is (-g, -f) and the radius is √(g

^{2}+ f

^{2}– c).

## How do you find the radius of the circle if you know the area?

To find the radius, **divide the area by pi, then take the square root**.

## How do you find the radius?

How to Find the Radius of a Circle?

- When the diameter is known, the formula for the radius of a circle is: Radius = Diameter / 2.
- When the circumference is known, the formula for the radius is: Radius = Circumference / 2π
- When the area is known, the formula for the radius is: Radius = ⎷(Area of the circle / π)

## Why is pi 22 divided 7?

It is known that pi is **an irrational number** which means that the digits after the decimal point are never-ending and being a non-terminating value. … Therefore, 22/7 is used for everyday calculations. ‘π’ is not equal to the ratio of any two number, which makes it an irrational number.

## Who is the father of pi?

The first calculation of π was done by **Archimedes of Syracuse** (287–212 BC), one of the greatest mathematicians of the ancient world.

## Why is 3.14 called pi?

It was not until the 18th century — about two millennia after the significance of the number 3.14 was first calculated by Archimedes — that the name “pi” was first used to denote the number. … “He used it **because the Greek letter Pi corresponds with the letter ‘P’**… and pi is about the perimeter of the circle.”

## Which shape has the smallest area?

Of all the shapes, **a sphere** has the smallest surface area for a volume.

## Which has the largest area?

List of countries (and dependencies) ranked by area

# | Country | % of world landmass |
---|---|---|

1 |
Russia |
11.0 % |

2 | Canada | 6.1 % |

3 | China | 6.3 % |

4 | United States | 6.1 % |

## Which polygon has more area?

**A regular polygon** gives the maximum area for a given perimeter. So the triangle that gives the maximum area for a given perimeter is an equilateral triangle.

## References

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