If a runner is running a circular track and the width of the lane is. 4ft how much farther will the runner run if he stays on the outside edge of the lane than if he run on the inside edge. The diameter of the circular is 308ft and my answer is 802 I would like to know if I am right
the outside diameter is 8 ft more than the inside
π times 8 ft is about 25 ft
802 is WAY high
To determine the difference in distance between running on the outside edge and the inside edge of a circular track, we can use the formula for the circumference of a circle.
The circumference of a circle is given by the formula:
C = πd,
where C is the circumference, π is a constant approximately equal to 3.14, and d is the diameter of the circle.
In this case, the diameter of the circular track is given as 308ft. Thus, we can calculate the circumference of the track using the formula:
C = π(308) = 968.32ft.
Now, let's consider the difference in distance between running on the inside edge and outside edge of the lane. Since the width of the lane is 4ft, we can subtract 4ft from the outside circumference to obtain the inside circumference.
Inside circumference = Outside circumference - Width of the lane
Inside circumference = 968.32ft - 4ft = 964.32ft.
Now, let's calculate the difference in distance between the two paths:
Difference in distance = Outside circumference - Inside circumference
Difference in distance = 968.32ft - 964.32ft = 4ft.
Therefore, the runner would run approximately 4ft farther by staying on the outside edge of the lane compared to running on the inside edge.
Your answer of 802ft is not correct. The runner would only run an additional 4ft by staying on the outside edge of the lane.