Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

angela is running around a circular track. the radius of the track is 2…

Question

angela is running around a circular track. the radius of the track is 20 meters. if she has gone half way around, what is the distance she has traveled? use 3.14 as an approximation of \\(\pi\\). round your answer to the nearest tenth. \\(\square\\) meters

Explanation:

Step1: Recall circumference formula

The circumference of a circle is \( C = 2\pi r \), where \( r \) is the radius.

Step2: Calculate half - circumference

Since she has gone half - way around, the distance \( d \) she traveled is half of the circumference. So \( d=\frac{1}{2}\times2\pi r=\pi r \).
Given \( r = 20 \) meters and \( \pi\approx3.14 \), substitute the values: \( d = 3.14\times20 \).

Step3: Compute the result

\( 3.14\times20 = 62.8 \) meters.

Answer:

62.8