Question

Using the approximation 3.14 for pi​, what is the radius of a circle with circumference 50.2 ​m?
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Part 1
The radius is
  
enter your response here m. ​(Round to the nearest tenth as​ needed.)

Answer 1

To find the radius of a circle given its circumference, we can use the formula for the circumference of a circle:

\[
C = 2\pi r
\]

where:
- \( C \) is the circumference,
- \( \pi \) is approximately 3.14,
- \( r \) is the radius.

Given the circumference \( C = 50.2 \) m, we can rearrange the formula to solve for the radius \( r \):

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

Substituting the known values:

\[
r = \frac{50.2}{2 \times 3.14}
\]

First, calculate \( 2 \times 3.14 \):

\[
2 \times 3.14 = 6.28
\]

Now, calculate the radius:

\[
r = \frac{50.2}{6.28} \approx 8.0
\]

Thus, rounding to the nearest tenth, the radius of the circle is:

\[
\text{Radius} \approx 8.0 \, \text{m}
\]

So the final answer is:

The radius is **8.0 m**.