What is the area of a circle if the circumference is 2 pi inches
area formula is PI x r squared
that is 3.1417 times the radius of the circle squared
example is:- 3.1417 times 3 inches squared =3.1417 times 3x3=3.1417x9=28.279 square inches if you want to work back from a circumference measurement, the formula for circumference is 2 x PI x radius or PI x diameter
if you have a circumference of 12 inches then the dia is calculated 12 inches = dia x PI to get the diameter , divide the 12 inches by PI and that will be the diameter so that is 12 divided by 3.1417 =3.819 inches
now you can go from the first formula the radius is the diameter divided by 2 so the radius will be 3.819 divided by 2 = 1.909 inches
so applying the area formula it becomes 3.1417 times 1.909 times 1.909 =11.458 square inches
to find your answer simply substitute the dimensions in place of the example figures.in the relevant formula.
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