Circle Circumference Function: Express in Terms of Radius 'a'

Question

A circle has a radius of a.

Choose the function that expresses its circumference.

aaa

Video Solution

Step-by-Step Solution

The goal of this problem is to find the function that represents the circumference of the circle when the radius is a a .

The formula for the circumference of a circle is:

  • C=2πr C = 2\pi r

We are given that the radius r r is a a .

Using the formula C=2πr C = 2\pi r , substitute a a for r r :

C=2πa C = 2\pi a

Thus, the function that expresses the circumference of the circle is:

y=2πa y = 2\pi a

Among the given choices, y=2πa y = 2\pi a corresponds to choice number 4.

Answer

y=2πa y=2\pi a