To find the circumference of a circle with a radius of 16 cm, we use the formula for the circumference of a circle, which is:
[tex]\[ \text{Circumference} = 2 \pi r \][/tex]
where [tex]\( r \)[/tex] is the radius of the circle.
Given:
[tex]\[ r = 16 \, \text{cm} \][/tex]
Now, substituting the value of the radius into the formula, we get:
[tex]\[ \text{Circumference} = 2 \pi \times 16 \, \text{cm} \][/tex]
Evaluating this expression, we find that:
[tex]\[ \text{Circumference} \approx 100.53 \, \text{cm} \][/tex]
So, the circumference of the circle is approximately [tex]\( 100.53 \, \text{cm} \)[/tex].
None of the provided choices ([tex]\( 16 \, \text{cm} \)[/tex], [tex]\( 32 \, \text{cm} \)[/tex], [tex]\( 87 \, \text{cm} \)[/tex], [tex]\( 256 \, \text{cm} \)[/tex]) are correct in comparing to the accurate value of [tex]\( 100.53 \, \text{cm} \)[/tex]. The correct circumference is indeed [tex]\( 100.53 \, \text{cm} \)[/tex].
