3. The circumference of a circle is 4pi. Find the area of the circle.
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Answer:
The perimeter of the circle (also known as the circumference) is 4π.
(C = 4π or 4 * 3.14 = 12.56)
The formula for the area of a circle is the following:
S = π * r^2 where r = radius of circle
First, to find r (radius) substitute in the formula for the circumference.
C = 2 * π * r
4π = 2π * r
r = 4π / 2π
r = 4 / 2
r = 2 ==> radius = 2 units
Next, plug the value of r in the formula for the area of the circle.
S = π * r^2
S = 3.14 * 2^2
S = 3.14 * 4
S = 12.56 ==> area = 12.56 or ~12.6 square units
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4 pi is answer
2pir=4pi
Therefore r= 2
Area of circle =pi r^2
Area= 4pi
2pir=4pi
Therefore r= 2
Area of circle =pi r^2
Area= 4pi
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