Ronald was biking around a circular bike trial that had a radius of 1.2 miles. There were 3 rest stops along the trial that were equal distance apart. What was the distance between each rest stop?
2 pi R / 4 assuming the start/finish is that same distance from stop 1 and stop 3
= 3.14 * 1.2 / 2
= 1.88miles
C = 2πr = 2.4π miles
3 stops divide the circle into 3 parts, so each is 0.8π miles long
2 * 1.2 * 3.14
2.4 * 3.14
Then you do
7.536 * 3
22.608
To find the distance between each rest stop, we can use the formula for the circumference of a circle.
The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
In this case, the radius of the circle is given as 1.2 miles. So the circumference of the circular bike trail is:
C = 2π(1.2) = 2(3.14)(1.2) = 7.536 miles
Since there are 3 rest stops equally spaced along the trail, we can divide the total circumference by 3 to find the distance between each rest stop:
Distance between each rest stop = Circumference / Number of rest stops
= 7.536 miles / 3 = 2.512 miles
Therefore, the distance between each rest stop is approximately 2.512 miles.