Question

Find the distance around a circular track if it is 100 feet across. (Use 3.14 for π.) A) 78 feet B) 157 feet C) 314 feet D) 628 feet

Answer 1

C) 314 feet.

Explanation:

We have been given that a circular track is 100 feet across. We are asked to find the distance around the track.

The distance around the track would be equal to circumference of circle.

`\text{Circumference of circle}=2\pi r`, where r represents radius of circle.

Since we have been given across distance, so it will be diameter of track.

To find radius we will divide across distance by 2.

`r=\frac{100\text{ ft}}{2}=50\text{ ft}`

Upon substituting our given values in circumference formula, we will get:

`\text{Circumference of circle}=2* 3.14* 50\text{ ft}`

`\text{Circumference of circle}=100* 3.14\text{ ft}`

`\text{Circumference of circle}=314\text{ ft}`

Therefore, the distance around the track is 314 feet and option C is the correct choice.