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

17.49 millimeters.

You are watching: Find the diameter of a circle with an area of 240.25 pi square millimeters

Step-by-step explanation:

The area of a circle is normally calculated making use of the formula:

Area that a one = PI * radius the the circle ^ 2

You must remember that the radius is exactly half the radius, for this reason you have to clear the radius the the equation and also finally multiply it through 2:

Solving for the radius of the formula gives:

Circle radius = square source (Area of circle / PI)

When replacing v the listed data, friend get:

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

As girlfriend remember, the radius should be multiply by 2 to obtain the diameter, therefore:

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

The diameter that the circle is 17.49

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