Question

Noah is making a circular train track. He has some curved pieces of track. When he puts them together, the curved pieces will make a circular track with a diameter of 1600mm. The outside length of each curved section is 157. how many curved pieces does Noah need to make the whole circle?

Answer 1

Noah needs approximately 32 curved pieces to complete the circular train track with a diameter of 1600 mm, each curved section being 157 mm in length.

To find out how many curved pieces Noah needs to make the whole circle, we need to determine the circumference of the circle formed by the curved pieces and then divide it by the length of each curved section.

The formula for the circumference (C) of a circle is given by:

C = π × Diameter

In this case, the diameter is given as 1600 mm, so:

C = π × 1600

Now, we can find the number of curved pieces (N) needed by dividing the total circumference by the length of each curved section:

N = C / Length of each curved section

Substitute the values:

N = (π × 1600) / 157

Calculating this gives the approximate number of curved pieces Noah needs to make the whole circle. Let's compute this:

N ≈ (3.1416 × 1600) / 157

N ≈ 5024 / 157

N ≈ 32

So, Noah would need approximately 32 curved pieces to make the whole circular train track.