The formula of the circumference of a circle is given by:
[tex]C=2\pi r[/tex]Where r is the radius.
By replacing the C-value, we can solve for r:
[tex]\begin{gathered} 7.85=2\pi r \\ r=\frac{7.85}{2\pi} \\ r=1.25 \end{gathered}[/tex]Now, the formula of the area is given by:
[tex]A=\pi r^2[/tex]Replace the r-value and solve for A:
[tex]\begin{gathered} A=\pi(1.25)^2 \\ A=\pi\cdot1.56 \\ A=4.91 \end{gathered}[/tex]The area of the circle is 4.91
