To find the circumference of a circle, we use the formula:
\[ C = 2 \pi r \]
where \( C \) is the circumference and \( r \) is the radius of the circle.
Given that the radius \( r \) of the circle is 10.2 cm, we can substitute the value directly into the formula:
\[ C = 2 \pi \times 10.2 \]
Using the value of \( \pi \), which is approximately 3.14159, the calculation of the circumference is as follows:
\[ C \approx 2 \times 3.14159 \times 10.2 \]
\[ C \approx 64.08849013323177 \text{ cm} \]
However, we are asked to find the circumference to the nearest tenth of a centimeter, so we will round the calculated value to the nearest tenth. By doing so:
\[ C \approx 64.1 \text{ cm} \]
Therefore, the circumference of the circle when rounded to the nearest tenth of a centimeter is 64.1 cm.
