Answer:
The radius is [tex]r=10\ in[/tex] and the diameter is [tex]D=20\ in[/tex]
Step-by-step explanation:
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
In this problem we have
[tex]A=314\ in^{2}[/tex]
substitute and solve for r
assume
[tex]\pi =3.14[/tex]
[tex]314=(3.14)r^{2}[/tex]
[tex]r^{2}=314/3.14[/tex]
[tex]r^{2}=100[/tex]
[tex]r=10\ in[/tex]
Find the diameter
[tex]D=2r[/tex]
[tex]D=2(10)=20\ in[/tex]
