The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference of the circle is approximately 15.7.What is the approximate circumference of a circle with a diameter of 9? Round answer to nearest tenth.
We don't need to do proportions
C = pi*d
3.14*9=28.26≈28.3
However, if you do want to solve this problem with proportions, you can do the following:
We can get the proportion by making a fraction with 9 (diameter of 2nd circle) on the top and 5 (diameter of first circle) on the bottom, \(\frac{9}{5}\)
If the circumference of the circle with the diameter of 5 is 15.7, we can multiply 15.7 by \(\frac{9}{5}\) and get 28.26, which rounds to 28.3