Question

Consider a circle whose size can vary. Let r r represent the radius of the circle (in cm) and let C C represent the circumference of the circle (in cm). Suppose the function f f determines the circumference of the circle in cm, C C, given its radius length in cm, r r. Write a function formula for f f.

Answer 1

`f(r)=2\pi r`

Explanation:

The formula for circumference of a circle is

`C=2\pi r`

where,

C represent the circumference of the circle.

r represent the radius of the circle.

It is the function f determines the circumference of the circle in cm, C C, given its radius length in cm, r.

So, the circumference of the circle is defined by the function

`f(r)=2\pi r`

Therefore the required formula for function f is
`f(r)=2\pi r`.

Answer 2

f(r) = 2πr

Explanation:

You know the formula for circumference in terms of radius is ...

C = 2πr

You are being asked to write this as a function named "f". That will be ...

f(r) = 2πr