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.)
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:
\[
8\pi \, \text{cm}
\]
\[
C = 2\pi r
\]
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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