Respuesta :

The diameter of the circle is 17.49

Answer:

The diameter of a circle with an area of 240.25 square millimeters is approximately:

  • 17.49 millimeters.

Step-by-step explanation:

The area of a circle is usually calculated using the formula:

  • Area of a circle = PI * radius of the circle ^ 2

You must remember that the radius is exactly half the radius, so you must clear the radius of the equation and finally multiply it by 2:

Solving for the radius of the formula gives:

  • Circle radius = square root (Area of circle / PI)

When replacing with the provided data, you get:

  • Circle radius = square root (240.25 mm ^ 2 / PI)
  • Circle radius = 8.7449

As you remember, the radius must be multiplied by 2 to obtain the diameter, therefore:

  • Circle diameter = 8.7449 * 2
  • Circle diameter = 17.4898 about 17.49
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