Question

alicia is running around a circular track. the radius of the track is 21 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.

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 she has gone half - way around the circular track, the distance she has traveled is half of the circumference. So the formula for the distance \( d \) is \( d=\pi r \).

Step2: Substitute the given values

We are given that the radius \( r = 21\) meters and \( \pi\approx3.14 \). Substitute these values into the formula \( d=\pi r \). So \( d = 3.14\times21\).

Step3: Calculate the product

\( 3.14\times21=(3 + 0.14)\times21=3\times21+0.14\times21 = 63+2.94 = 65.94\) meters.

Step4: Round to the nearest tenth

To round 65.94 to the nearest tenth, we look at the hundredth place. The digit in the hundredth place is 4, which is less than 5. So we keep the tenths place digit as it is. So 65.94 rounded to the nearest tenth is 65.9 meters.

Answer:

The distance she has traveled is 65.9 meters.