Answer:
The radius of the circle required is 5 inches
Step-by-step explanation:
we know that
The diagonal of the square is the diameter of the circle
The length side of the square is half the apothem
Let
a ----> the apothem
r ---> the radius of the circle (half the diagonal of the square)
Applying the Pythagorean Theorem
[tex]r^2=a^2+a^2[/tex]
we have
[tex]a=3.536\ in[/tex]
substitute
[tex]r^2=3.536^2+3.536^2[/tex]
[tex]r^2=25\\r=5\ in[/tex]
