Solution
- The formula for the circumference of a circle is given by:
[tex]\begin{gathered} C=2\times\pi\times r \\ where, \\ r=\text{ The radius of the circle} \end{gathered}[/tex]
- We have been given the radius to be:
[tex]\begin{gathered} r=3\frac{1}{9} \\ \\ \text{ We should convert the radius to improper fraction} \\ \\ r=\frac{(3\times9)+1}{9} \\ \\ r=\frac{28}{9}yd \\ \\ \\ \text{ Also,} \\ \pi=\frac{22}{7} \end{gathered}[/tex]
- Thus, we can find the circumference of the circle as follows:
[tex]\begin{gathered} C=2\times\frac{22}{7}\times\frac{28}{9} \\ \\ C=2\times22\times\frac{4}{9} \\ \\ C=\frac{176}{9}=19\frac{5}{9}yd \end{gathered}[/tex]
Final Answer
The Circumference of the circle is:
[tex]C=19\frac{5}{9}yd[/tex]
