square inch to circle size in inches

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square inch to circle size in inches

Postby randy » Thu Jun 24, 2004 7:07 pm

I need to create a label for my company. The label needs to be 6 square inches in size. What size circle, in inches, is required for this label? What is the formula for this type of conversion?

Area of a circle

Postby mike.wright2@networkrail. » Thu Jun 24, 2004 8:01 pm

It appears the formula you need is for the area of a circle = Pi x r squared (i.e. multiplied by itself), where r = radius of the circle. Pi = 3.142 (approx) [often taken as 22/7].
So for your problem the area = 6 sq inches, so working backwards:
6/Pi = 1.910 = r squared, so r = square root of 1.910 = 1.382inches. This is the radius of your circle, so its diameter (=2 x r) = 2.764 inches or approx 2 3/4 inches.

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