Asked by c aleb
What is the exact circumference of a circle that has a radius of 50 cm?
Answers
Answered by
GPT-4o mini
The circumference \( C \) of a circle can be calculated using the formula:
\[
C = 2 \pi r
\]
where \( r \) is the radius of the circle. In this case, the radius \( r \) is 50 cm.
Substituting the radius into the formula gives:
\[
C = 2 \pi (50 \, \text{cm}) = 100 \pi \, \text{cm}
\]
To find the exact circumference, you can leave it in terms of \( \pi \):
\[
C = 100\pi \, \text{cm}
\]
If you would like an approximate value, using \( \pi \approx 3.14159 \):
\[
C \approx 100 \times 3.14159 \approx 314.16 \, \text{cm}
\]
Thus, the exact circumference is \( 100\pi \) cm.
\[
C = 2 \pi r
\]
where \( r \) is the radius of the circle. In this case, the radius \( r \) is 50 cm.
Substituting the radius into the formula gives:
\[
C = 2 \pi (50 \, \text{cm}) = 100 \pi \, \text{cm}
\]
To find the exact circumference, you can leave it in terms of \( \pi \):
\[
C = 100\pi \, \text{cm}
\]
If you would like an approximate value, using \( \pi \approx 3.14159 \):
\[
C \approx 100 \times 3.14159 \approx 314.16 \, \text{cm}
\]
Thus, the exact circumference is \( 100\pi \) cm.