Answer:
[tex]57\frac{3}{11}[/tex] = c
or
[tex]57.\overline{27}[/tex] = c
Step-by-step explanation:
We know that the diameter of a circle multiplied by [tex]\pi[/tex] is the circumference, so we can create this equation:
180 = c * [tex]\pi[/tex]
Your teacher told us to assume [tex]\pi[/tex] is 22/7, so we'll put that in
180 = c * [tex]\frac{22}{7\\}[/tex]
To get c by itself, we divide both sides by 22/7
[tex]\frac{180}{\frac{22}{7}}[/tex] = c
Dividing by a number is the same as multiplying by its reciprocal, so we'll multiply 180 by 7/22
180 * [tex]\frac{7}{22}[/tex] = c
Evaluate
[tex]\frac{1260}{22}[/tex] = c
[tex]57\frac{3}{11}[/tex] = c
If you want a decimal instead:
[tex]57.\overline{27}[/tex] = c
