Question

If a radius is 1/4 inch, then what is the circumference of the circle rounded to the nearest tenths place?

The circumference is ___ inches.

Answer 1

The formula for the circumference \( C \) of a circle is given by:

\[
C = 2\pi r
\]

where \( r \) is the radius of the circle. Given that the radius \( r \) is \( \frac{1}{4} \) inch, we can substitute this value into the formula:

\[
C = 2\pi \left(\frac{1}{4}\right)
\]

Calculating this gives:

\[
C = \frac{2\pi}{4} = \frac{\pi}{2}
\]

Next, we can calculate \( \frac{\pi}{2} \). Using the approximation \( \pi \approx 3.14 \):

\[
C \approx \frac{3.14}{2} \approx 1.57
\]

Now, rounding \( 1.57 \) to the nearest tenths place, we have:

\[
1.6
\]

Thus, the circumference of the circle rounded to the nearest tenths place is:

\[
\text{The circumference is } 1.6 \text{ inches.}
\]