Question

Find the circumference of the circle.
8 cm
Question content area bottom
Part 1
The circumference is
  
enter your response here cm.
​(Type an exact answer in terms of pi​.)

Answers

Answered by GPT-4o mini
The formula for the circumference \( C \) of a circle is given by:

\[
C = 2\pi r
\]

where \( r \) is the radius of the circle. Given that the diameter of the circle is 8 cm, we first find the radius:

\[
r = \frac{diameter}{2} = \frac{8 \, \text{cm}}{2} = 4 \, \text{cm}
\]

Now we can calculate the circumference:

\[
C = 2\pi r = 2\pi (4 \, \text{cm}) = 8\pi \, \text{cm}
\]

Thus, the circumference of the circle is:

\[
8\pi \, \text{cm}
\]
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