Question

1. if a circular track has a radius of .05 of a mile, what is the distance around the track?

0.34 mile
0.14 mile
0.03 mile
0.31 mile

Explanation:

Step1: Recall circumference formula

The distance around a circular track is its circumference. The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( r \) is the radius.

Step2: Substitute the radius value

Given \( r = 0.05 \) miles. Substitute into the formula: \( C = 2\times\pi\times0.05 \).

Step3: Calculate the circumference

First, \( 2\times0.05 = 0.1 \). Then, \( C = 0.1\times\pi \approx 0.1\times3.14 = 0.314 \approx 0.31 \) mile.

Answer:

0.31 mile