Answer:
The area of a circle with a circumference of 18.84 is 28.26 units²
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,
![Circumference = 2\pi Radius](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n8vwally3nocdb5gx0ll6mzmqeamx8560r.png)
Substituting the values we get the radius
![18.84=2* 3.14* Radius\\\\18.84 = 6.28* Radius\\\\\therefore Radius =(18.84)/(6.28) \\\\\therefore Radius = 3\ unit\\](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jbwbzcx9cb2fttetvpcm55z9rkp116hd00.png)
Now Formula for calculating Area of Circle is given as
![\textrm{Area of Circle} =\pi (Radius)^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9rphpjirgy60fiy0mhl81hmcydb7hnp90b.png)
Substituting the Radius we get
![\textrm{Area of Circle} =3.14* 3^(2)\\\\\textrm{Area of Circle} =28.26\ units^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/av0t1g8o5shnls4msqrugl8rodj25aqwjb.png)
The area of a circle with a circumference of 18.84 is 28.26 units²