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
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