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The area of a circle with a radius of nine centimeters is: 254.5 cm2
The radius is 9 inches because area of circle is pi*9 squared = 81pi square inches and the diameter is twice the radius which is 2*9 = 18 inches
Area = pi * radius^2. radius = diameter / 2, so radius of this circle is 3.Area = 9 * pi (take your favorite value of pi: 3.1416....)
As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.