Respuesta :

carlosego

Answer: 7.97 meters

Step-by-step explanation:

You must use the formula for calculate the area of a circle, which is:

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

Where r is the radius of the circle.

The diameter of the circle is:

[tex]D=2r[/tex]  

Solve for r from  [tex]D=2r[/tex]  

[tex]r=\frac{D}{2}[/tex]

Substitute the area and [tex]r=\frac{D}{2}[/tex] into the first equation and solve for the diameter. Then you obtain:

[tex]50m^2=(\frac{D}{2})^2\pi\\\\50m^2=\frac{D^2}{4}\pi\\\\D=\sqrt{\frac{4*50m^2}{\pi}}\\D=7.97m[/tex]

imlittlestar

Answer:

The  diameter of a circle that has 50 square meters = 7.98 m

Step-by-step explanation:

Formula

Area of circle = πr²

Where 'r' is the radius of circle

Diameter of circle d = 2r

It is given that area of circle = 50 square meters

To find the radius of circle

we have,

Area of circle = πr² = 50

r² = 50/π = 50/3.14 = 15.924

r = √15.924 = 3.99

To find the diameter of circle

Diameter = 2r = 2 * 3.39 = 7.98 m

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