Respuesta :
Answer:
The area of a circle with a circumference of 18.84 is 28.26 units²
Step-by-step explanation:
Given:
Circumference = 18.84
Let R be the Radius of a Circle
pi = 3.14
To Find:
Area of Circle = ?
Solution:
We Know that,
[tex]Circumference = 2\pi Radius[/tex]
Substituting the values we get the radius
[tex]18.84=2\times 3.14\times Radius\\\\18.84 = 6.28\times Radius\\\\\therefore Radius =\frac{18.84}{6.28} \\\\\therefore Radius = 3\ unit\\[/tex]
Now Formula for calculating Area of Circle is given as
[tex]\textrm{Area of Circle} =\pi (Radius)^{2}[/tex]
Substituting the Radius we get
[tex]\textrm{Area of Circle} =3.14\times 3^{2}\\\\\textrm{Area of Circle} =28.26\ units^{2}[/tex]
The area of a circle with a circumference of 18.84 is 28.26 units²