Respuesta :
Answer:
12.56 square units
Step-by-step explanation:
The formula for circumference is
C = 2πr
Our circumference is 12.56. Using 3.14 for π, we have
12.56 = 2(3.14)r
12.56 = 6.28r
Divide both sides by 6.28:
12.56/6.28 = 6.28r/6.28
2 = r
The area of a circle is given by the formula
A = πr²
Using 3.14 for π and our radius of 2, we have
A = 3.14(2²) = 3.14(4) = 12.56.
A circle is a curve sketched out by a point moving in a plane. The area of the circle will be equal to 12.544 units².
What is a circle?
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 circumference of the circle is given as 12.56 units, therefore, the radius of the circle can be written as,
[tex]\text{Circumference of the circle}=2\pi r\\\\12.56 = 2 \times \pi \times r\\\\r = 1.9989\rm\ units[/tex]
As we know the radius of the circle, therefore, the area of the circle can be written as,
[tex]\text{Area of circle}= \pi r^2 = \pi \times (1.9989)^2 = 12.554\rm\ units^2[/tex]
Thus, the area of the circle will be equal to 12.544 units².
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