Respuesta :
Answer:
r=6
Step-by-step explanation:
[tex]A=\pi r^{2} \\36\pi =\pi r^{2}\\36=r^{2} \\r=\sqrt{36}\\r=6[/tex]
Answer:
[tex]r=6[/tex]
Step-by-step explanation:
[tex]Greetings![/tex]
[tex]I'm~Isabelle~Williams~and~I~will~be~answering~your~question![/tex]
[tex]The~ formula ~for~ the~ area ~of ~a ~circle~ is~ given ~by:[/tex]
[tex]\boxed{A=\pi r^2}[/tex]
[tex]In~our~case~we~have:[/tex]
[tex]A=36\pi[/tex]
[tex]we~ can~ substitute~ into~ the~ formula~ for~ area ~A ~and ~get:[/tex]
[tex]36=r^2[/tex]
[tex]Now~we~take~the~square~root~of~36~to~find~the~radius:[/tex]
[tex]r=\sqrt{36}[/tex]
[tex]r=6[/tex]
[tex]Thus,~the~radius~of~the~circle~is~6.[/tex]
[tex]Hope~this~helps!~Have~an~amazing~day~ahead![/tex]
[tex]-Isabelle~Williams[/tex]