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18 February, 15:26

Find the diameter of a cicle with an area of 240.48 π square millimeters?

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  1. 18 February, 18:10
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    31.02 mm.

    Step-by-step explanation:

    Step 1:

    The area of the given circle is 240.48 π sq mm

    We need to find the diameter of the circle

    Step 2:

    The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle

    We know that the diameter of circle is 2 times its radius.

    Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2, we get the diameter.

    Step 3:

    Using the above method, we have

    πr² = 240.48 π

    => r² = 240.48 π / π = 240.48

    => r = √240.48 = 15.51 approximately

    Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.
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