## How do you find the side of a square if you know the radius of a circle?

Answer

- First check whether any radius of the circle is given or not.
- We know that diameter = 2× radius.
- The diameter is 2 r . The diameter is also the diagonal of the given square.
- So 2 r is the diagonal of the square.
- Let the side of square be s.
- The diagonal is √2s.
- Now √2 s = 2 r.
- Square both sides to get : 2 s²= 4 r²

## What is the radius of a square?

Calculating Radius of a Square The distance from the center of a square to any one of its four corners can be calculated by taking half the length of one side of the square, squaring that value, doubling the result, then taking the square root of that number. The radius of a 6-inch square is 4.24 inches.

**What is the area of a square inscribed in a circle with radius 1?**

Area of a square is given by : A=12d2 , where d is the length of the diagonal of the square.

**What is the formula of square?**

A=s2

Perimeter, Area, and Volume

Table 2. Area Formulas | ||
---|---|---|

Shape | Formula | Variables |

Square | A=s2 | s is the length of the side of the square. |

Rectangle | A=LW | L and W are the lengths of the rectangle’s sides (length and width). |

Triangle | A=12bh | b and h are the base and height |

### What does squaring radius do?

The area of a circle is pi times the radius squared (A = π r²). Learn how to use this formula to find the area of a circle when given the diameter.

### How do you find the radius with the area?

Radius of a circle from area: if you know the area A , the radius is r = √(A / π) . Radius of a circle from circumference: if you know the circumference c , the radius is r = c / (2 * π) .

**What is the area of a square inscribed in a circle with radius 8?**

Area of square =(82 )2=128cm2.

**What is the area of a square inscribed in a circle with radius r?**

So the area of the square =2r2.

#### Why is area squared?

Area is always expressed as square units (units2). This is because it is two-dimensional (length and height).

#### What is the area of square inscribed in a circle of radius a?

We’ve already seen how to find the length of a square’s diagonal from its side: it is a ·√2. The radius is half the diameter, so r=a·√2/2 or r=a/√2. The circumference is 2·r·π, so it is a·√2·π. And the area is π·r2, so it is π·a2/2.

**What is the area of the square with a radius of 8?**

Step-by-step explanation: radius =8cm diameter = 2*8=16cm . Then let side of square be X so a/q Xsq + Xsq =16 sq so Xsq =128 cm sq.

**What is radius of a square?**

For a circle in a square that just touches the edges of the square, the radius of the circle is one-half the length of the side of the square. For a 2-inch square, the radius of the circle is one inch.