aidengriffin7 aidengriffin7
  • 26-03-2020
  • Mathematics
contestada

Find the diameter of a circle with an area of 804.25^2 cm.

Respuesta :

Ursus Ursus
  • 27-03-2020

Answer:

[tex]Diameter=2\sqrt{256.13} cm[/tex]

Step-by-step explanation:

Area of a circle= [tex]\pi r^2[/tex]

As,

    [tex]\pi =\frac{22}{7}=3.14[/tex]

For,

            [tex]Area= 804.25cm^2[/tex]

   [tex]804.25=\pi r^2[/tex]

  [tex]804.25=3.14*r^2\\\\[/tex]

Dividing by '3.14' both sides:

   [tex]804.25/3.14=r^2[/tex]

       [tex]r^2=256.13\\\\r=\sqrt{256.13} \\[/tex]

Diameter of a circle= 2*r

 [tex]Diameter=2\sqrt{256.13} cm[/tex]

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