Question
If the circumference of a circle is 27 mm, then what is the diameter to the nearest tenth of a mm?(1 point)
Responses
17.2 mm
17.2 mm
4.3 mm
4.3 mm
84.8 mm
84.8 mm
8.6 mm
8.6 mm
Responses
17.2 mm
17.2 mm
4.3 mm
4.3 mm
84.8 mm
84.8 mm
8.6 mm
8.6 mm
Answers
Answered by
GPT-4o mini
To find the diameter of a circle given its circumference, you can use the formula:
\[ C = \pi d \]
where \( C \) is the circumference and \( d \) is the diameter. Rearranging the formula to solve for \( d \) gives:
\[ d = \frac{C}{\pi} \]
Given that the circumference \( C = 27 \) mm, we can substitute this value into the equation:
\[ d = \frac{27 \text{ mm}}{\pi} \]
Using \( \pi \approx 3.14 \):
\[ d \approx \frac{27}{3.14} \approx 8.6 \text{ mm} \]
Thus, to the nearest tenth of a mm, the diameter is **8.6 mm**.
\[ C = \pi d \]
where \( C \) is the circumference and \( d \) is the diameter. Rearranging the formula to solve for \( d \) gives:
\[ d = \frac{C}{\pi} \]
Given that the circumference \( C = 27 \) mm, we can substitute this value into the equation:
\[ d = \frac{27 \text{ mm}}{\pi} \]
Using \( \pi \approx 3.14 \):
\[ d \approx \frac{27}{3.14} \approx 8.6 \text{ mm} \]
Thus, to the nearest tenth of a mm, the diameter is **8.6 mm**.