High School

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 the 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?

Answer :

The length of the trail is determined as 1.3 miles.

What is the length of the trail?

The length of the trail is calculated as follows;

The circumference of the circle is calculated as;

S = πd

where;

  • d is the diameter of the circle

S = π x 2 ft

S = 2π ft

I revolution = 1 circumference = 2π ft

1 rev = 2π ft

1,100.5 rev = ?

= 1,100.5 rev/rev x 2π ft

= 6,914.65 ft

5280 ft -------> 1 mile

6,914.65 ft ------> ?

= 1.3 miles

Learn more about circumference of circle here: https://brainly.com/question/20489969

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