Final answer:
The circumference of a circle with a radius of 6.1 cm, calculated to three significant figures, is 38.3 cm.
Step-by-step explanation:
To calculate the circumference of a circle, you use the formula C = 2πr, where C represents the circumference and r is the radius of the circle. Given that the radius is 6.1 cm, we have:
C = 2π(6.1 cm) = 12.2π cm.
Using the value of π (pi) as 3.1415927..., we compute the circumference:
C = 12.2 cm × 3.1415927... = 38.31925962 cm.
However, since the radius was given to three significant figures, the final answer should also be to three significant figures:
C = 38.3 cm.