The area of a square is greater than the area of the circle by 12 cm². find the length of the side of a square if the area of the circle is 36 cm².

Respuesta :

Area of the square: 36 cm^2 + 12cm^2
                     48cm^2

area of a square: side x side
48cm^2=side1^2 (sides of squares are all equal, so the same length is being multiplied by itself)

√ 48 cm^2

one side: 
4√ 3 cm, or approximately 6.93cm

The length of the side of a square if the area of the circle is 36 cm² is 6.92 cm and this can be determined by using the formula of the area of the circle and the square.

Given :

  • The area of a square is greater than the area of the circle by 12 cm².
  • The area of the circle is 36 cm².

The area of a square is given by the formula:

A = [tex]\rm a^2[/tex]

where 'a' is the side length of a square.

The area of a circle is given by the formula:

A' = [tex]\rm \pi r^2[/tex]

where 'r' is the radius of a circle.

So, according to the given data, the area of a square is greater than the area of the circle by 12 cm², that is:

A = A' + 12   ---- (1)

Also given that the area of a circle is 36 [tex]\rm cm^2[/tex].

A = 36 + 12

A = 48

Substitute the value of A in the above equation.

[tex]\rm a^2 = 48[/tex]

a = 6.92 cm

For more information, refer to the link given below:

https://brainly.com/question/20767796