90,456 views
38 votes
38 votes
If curves the length of a circle's diameter were laid out along the circle end to end, how many of them would fit on the circle?

User DizzyDoo
by
2.6k points

1 Answer

21 votes
21 votes

Answer:


image

Explanation:

Given


image

Required

Number of curve length needed to round the circle

The length round the circle is the circumference of the circle.

To get the number of curves (n), we simply divide the circumference by the length of each curve.

i.e.


image

Circumference is calculated as:


image

So, we have:


image

Simplify fraction


image

Hence,
image of the curve length will fit the circle

User Osotorrio
by
2.7k points