Question

4b. What is the circumference for the same circle? How did you calculate it?

C = 2πr


You must show ALL work for full credit.

(2 points)

Answer 1

To calculate the circumference \( C \) of the circle, we can use the formula:

\[
C = 2\pi r
\]

where \( r \) is the radius of the circle.

First, we need to know the radius \( r \). Let's assume the radius is given or calculated to be \( r \). If you don't have a specific value for the radius, please provide one. For the sake of this example, let’s say the radius \( r = 5 \) units.

Now, we can substitute the value of \( r \) into the formula:

1. Substitute \( r \):
\[
C = 2\pi(5)
\]

2. Calculate the multiplication:
\[
C = 10\pi
\]

3. If you want a numerical approximation, we can use \( \pi \approx 3.14 \):
\[
C \approx 10 \cdot 3.14 = 31.4 \text{ units}
\]

So, the final circumference \( C \) of the circle with radius \( r = 5 \) is:

\[
C = 10\pi \text{ or approximately } 31.4 \text{ units}
\]

Make sure to adjust the value of \( r \) in the calculations if you have a different radius.