Question

Find the circumference of each circle. A circle with a radius of 3 1/9yd

Answer 1

- The formula for the circumference of a circle is given by:

`\begin{gathered} C=2*\pi* r \\ where, \\ r=\text{ The radius of the circle} \end{gathered}`

- We have been given the radius to be:

`\begin{gathered} r=3(1)/(9) \\ \\ \text{ We should convert the radius to improper fraction} \\ \\ r=((3*9)+1)/(9) \\ \\ r=(28)/(9)yd \\ \\ \\ \text{ Also,} \\ \pi=(22)/(7) \end{gathered}`

- Thus, we can find the circumference of the circle as follows:

`\begin{gathered} C=2*(22)/(7)*(28)/(9) \\ \\ C=2*22*(4)/(9) \\ \\ C=(176)/(9)=19(5)/(9)yd \end{gathered}`

Final Answer

The Circumference of the circle is:

`C=19(5)/(9)yd`