jeileens7 jeileens7
  • 03-03-2020
  • Mathematics
contestada

find the diameter of a circle with an area of 74 square millimeters

Respuesta :

joaobezerra joaobezerra
  • 03-03-2020

Answer:

The diameter of the circle is 9.7mm

Step-by-step explanation:

The area of a circle is given by the following formula:

[tex]A_{c} = \pi r^{2}[/tex]

In which r is the radius.

In this problem, we have that

[tex]A_{c} = 74 mm^{2}[/tex]

So

[tex]74 = \pi r^{2}[/tex]

[tex]r = \sqrt{\frac{74}{\pi}}[/tex]

[tex]r = 4.85mm[/tex]

The diameter is twice the radius:

So

[tex]d = 2r = 2*4.85 = 9.7[/tex]

The diameter of the circle is 9.7mm

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