Answer:
C = 12.75
Circumference is about 12.75 decimeters.
Step-by-step explanation:
Circumference formula: [tex]C=2\pi r[/tex]
Area formula: [tex]A=\pi r^2[/tex]
You can rearrange the area formula to solve for the radius:
[tex]A=\pi r^2\\r^2=\frac{A}{\pi} \\r=\sqrt{\frac{A}{\pi } }[/tex]
Solve for the radius given the area:
[tex]r=\sqrt{\frac{13}{3.14} }\\r=\sqrt{4.14}\\r=2.03[/tex]
Use the radius to calculate the circumference:
[tex]C=(2)(3.14)(2.03)\\C=12.75[/tex]
Circumference is about 12.75 decimeters.
