Question

What is the circumference of a circle 0.0320 m in diameter?

group of answer choices
a. 0.100 m
b. 0.3011 m
c. 0.300 m
d. 8.04 x 10⁻⁴ m
e. 0.20096 m
f. 0.10050 m
g. 0.2009 m
h. 0.10048 m
i. 0.20100 m

Answer 1

The circumference of a circle with a diameter of 0.0320 meters is 0.10050 meters, calculated using the formula C = πd, with Pi approximated as 3.14159.

Step-by-step explanation:

To solve the mathematical problem completely and find the circumference of a circle with a diameter of 0.0320 meters, we use the formula C = πd, where C is the circumference and d is the diameter of the circle. Since π (Pi) is approximately 3.14159, we can calculate the circumference as C = 3.14159 × 0.0320 m.

Performing this calculation gives us C = 0.10050 m, which matches with one of the answer choices provided. Therefore, the correct answer is f. 0.10050 m.

The formula for the circumference of a circle is directly related to its diameter. The fact that the diameter fits neatly across the square implies that the circle's circumference would be a bit more than three times the diameter, which aligns with our understanding of Pi (π) being a little more than 3.