Circumference of a circle:
C = 2 pi r
r = C / 2 pi
r = 37.68 / (2 * 3.14)
r = 6
Area of a circle:
A = pi r^2
A = 3.14 * 6^2
A = 113.04
Answer
The area of a circle = 113.04 square units
A circle is a curve sketched out by a point moving in a plane. The area of the circle is equal to 113.097 units².
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The radius of the circle is whose circumference is 37.68 units are,
Circumference of the circle = 2π×radius
37.68 units = 2π× R
R = 37.68/(2π)
R = 5.9969 units ≈ 6 units
Now, the area of circle can be written as,
Area of the circle = π×R²
= π×(6)²
= 113.097 units²
Hence, the area of the circle is equal to 113.097 units².
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