Question

tina is running around a circular track. the radius of the track is 22 meters. if she has gone half way around, what is the distance she has traveled? use 3.14 as an approximation of π. round your answer to the nearest tenth. meters

Explanation:

Step1: Recall the formula for the circumference of a circle.

The formula for the circumference of a circle is \( C = 2\pi r \), where \( r \) is the radius. Since Tina has gone half way around, we need to find half of the circumference.

Step2: Calculate the full circumference first.

Given \( r = 22 \) meters and \( \pi \approx 3.14 \), the full circumference \( C = 2\times3.14\times22 \).
First, calculate \( 2\times3.14 = 6.28 \), then \( 6.28\times22 = 138.16 \) meters (this is the full circumference).

Step3: Find half of the circumference.

Since she went half way, the distance is \( \frac{138.16}{2} = 69.08 \) meters.

Answer:

69.08