To measure the length of a hiking trail, a worker uses a device with a 2-foot diameter wheel that counts the number of revolutions of wheel makes. If the device reads 1,100.5 revolutions at the end of the trail, how many miles long is the trail, to the nearest tenth of a mile?

circumfrence of circle is pi (3.14) times diameter
so 3.14 times 2 = 6.28
then 1100.5 times 6.28 is your answer. Remember to round to nearest tenth.

2 feet my 1100.5 revolutions =2201. feet divided by 5,280 feet per mile =.416856 of a mile or to the nearest 10th .4

mile

To find the length of the trail, we need to calculate the total distance covered by the 2-foot diameter wheel.

First, we find the circumference of the wheel by multiplying the diameter by π (pi), which is approximately 3.14.
Circumference = π × diameter
Circumference = 3.14 × 2
Circumference = 6.28 feet

Next, we multiply the circumference by the number of revolutions the wheel made.
Distance covered = 6.28 feet/revolution × 1,100.5 revolutions
Distance covered = 6,910.74 feet

To convert the distance from feet to miles, we divide by the number of feet in a mile, which is 5,280 feet.
Distance covered in miles = 6,910.74 feet ÷ 5,280 feet/mile
Distance covered in miles = 1.31 miles

However, we are asked to round the answer to the nearest tenth of a mile. The tenths place in 1.31 is 3, so the rounded answer would be 1.3 miles.

To find the length of the hiking trail, we need to calculate the distance covered by the device with a 2-foot diameter wheel.

First, let's find the circumference of the wheel. The formula for the circumference of a circle is: circumference = π * diameter.

Given that the diameter is 2 feet, we can calculate the circumference as follows:
Circumference = π * 2 = 6.28 feet (rounded to the nearest hundredth)

Now, since the device registers 1,100.5 revolutions of the wheel, we can multiply the circumference by the number of revolutions to obtain the total distance covered.

Distance covered = 1,100.5 * 6.28 = 6,913.14 feet

Next, we need to convert the distance in feet to miles. There are 5,280 feet in a mile, so dividing the distance covered by 5,280 will give us the distance in miles.

Distance in miles = 6,913.14 feet / 5,280 feet per mile = 1.3095 miles (rounded to the nearest ten-thousandth)

Finally, rounding to the nearest tenth of a mile, we find that the trail is approximately 1.3 miles long.