Area = pi*r2 = 64*pi so that r2 = 64 or r = 8
Then circumference = 2*pi*r = 16*pi
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Circumference of a circle is (pi * diameter). Area of a circle is (pi * r2).
Area = (Circumference squared)/4 pi Circumference = 2 sqrt(Area times pi)
area = {pi}r2 = 16{pi} --> r2 = 16 --> r = 4 circumference = 2{pi}r = 2{pi}4 = 8{pi}
We know that the area of a circle is pi * r2. We also know that the circumference of a circle is pi * d. Therefore, when you know the circumference of a circle and want to know the area, divide the circumference by pi to give you the diameter of the circle, divide the diameter by 2 to give you the radius, square the radius and then multiply by pi to get the area. So, 10/pi = 3.183. 3.183/2 = 1.5915. 1.59152 = 2.533 2.533 * pi = 7.958 to 3 decimal places. The area of your circle is therefore 7.958cm2.
If you have the circumference: circumference = (pi) * diameter diameter = circumference / (pi) If you have the area: area = (pi) * radius * radius radius = square_root(area / pi) radius = diameter / 2 diameter = 2 * square_root(area / pi)