we know that
the area of the circle is equal to
\(A=\pi r^{2}\)
where
r is the radius of the circle
In this problem we have
\(Diameter=5\ in\\r=Diameter/2\\r=5/2\\r=2.5\ in\)
substitute the value of r in the area's formula
\(A=\pi*2.5^{2}\)
\(A=6.25\pi\ in^{2}\)
therefore
the answer is
\(6.25\pi\ in^{2}\)
