If the circumference of a circle is 27 mm, then what is the diameter to the nearest tenth of a mm?(1 point)

Question

Responses

4.3 mm
4.3 mm

84.8 mm
84.8 mm

17.2 mm
17.2 mm

8.6 mm
8.6 mm

Answer 1

To find the diameter of a circle from its circumference, you can use the formula:

\[ C = \pi d \]

where \( C \) is the circumference and \( d \) is the diameter.

Given that the circumference \( C \) is 27 mm, you can rearrange the formula to solve for the diameter \( d \):

\[ d = \frac{C}{\pi} \]

Now substituting in the value for \( C \):

\[ d = \frac{27 \text{ mm}}{\pi} \]

Using \( \pi \approx 3.14 \):

\[ d \approx \frac{27}{3.14} \approx 8.6 \text{ mm} \]

Thus, the diameter of the circle, to the nearest tenth of a mm, is approximately 8.6 mm.