Answer:
represents the radius (in cm) of a circle whose circumference is 15 cm
if
, then a represents the circumference (in cm) of a circle whose radius is 15cm
Step-by-step explanation:
In a circle the following relationship can be posed:
![C = 2 \pi r](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r)
Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:
![g (C) =\frac{C}{2\pi}](https://tex.z-dn.net/?f=g%20%28C%29%20%3D%5Cfrac%7BC%7D%7B2%5Cpi%7D)
Thus,
represents the radius (in cm) of a circle whose circumference is 15 cm. You have to
.
On the other hand, if
, then
represents the circumference (in cm) of a circle whose radius is 15cm. You have to ![a=2 \pi(15) = 30 \pi](https://tex.z-dn.net/?f=a%3D2%20%5Cpi%2815%29%20%3D%2030%20%5Cpi)