What is the exact circumference of a circle that has a radius of 50 cm?

1 answer

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.