Question

A race car drove around a circular track that was 0.4 mile. If 1 mile = 5,280 feet, what is the radius of the track, in feet? Use π = 3.14 and round to the nearest hundredth.

Answer 1

To find the radius of the circular track in feet, you can use the formula for the circumference of a circle:

Circumference = 2πr

In this case, you're given that the track is 0.4 miles long, and you need to convert that to feet using the conversion factor 1 mile = 5,280 feet:

0.4 miles * 5,280 feet/mile = 2,112 feet

So, the circumference of the track is 2,112 feet.

Now, you can use the formula to solve for the radius (r):

2πr = Circumference

2 * 3.14 * r = 2,112 feet

Now, divide both sides by 2 * 3.14 to solve for r:

r = 2,112 feet / (2 * 3.14)

r ≈ 336.94 feet (rounded to the nearest hundredth)

So, the radius of the circular track is approximately 336.94 feet when rounded to the nearest hundredth.

To find the radius of the circular track in feet, you can use the formula for the circumference of a circle:

Circumference = 2πr

In this case, you're given that the track is 0.4 miles long, and you need to convert that to feet using the conversion factor 1 mile = 5,280 feet:

0.4 miles * 5,280 feet/mile = 2,112 feet

So, the circumference of the track is 2,112 feet.

Now, you can use the formula to solve for the radius (r):

2πr = Circumference

2 * 3.14 * r = 2,112 feet

Now, divide both sides by 2 * 3.14 to solve for r:

r = 2,112 feet / (2 * 3.14)

r ≈ 336.94 feet (rounded to the nearest hundredth)

So, the radius of the circular track is approximately 336.94 feet when rounded to the nearest hundredth.