Answer:
Diameter=22 inches
Step-by-step explanation:
It is given that The area of a circle is approximately 379.94 square inches, then using the formula for the area of the circle, we get
[tex]A={\pi}r^2[/tex]
Substituting the given values, we have
[tex]379.94={\pi}r^2[/tex]
⇒[tex]379.94=3.14r^2[/tex]
⇒[tex]\frac{379.94}{3.14}=r^2[/tex]
⇒[tex]r^2=121[/tex]
⇒[tex]r=11[/tex]
Now, the diameter of the circle is given as:
[tex]D=2r[/tex]
Putting the value of r, we have
[tex]D=2(11)[/tex]
⇒[tex]D=22 inches[/tex]
Thus, the diameter of the circle is 22 inches.
