Question

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?

Answer 1

`\pi`

Explanation:

Given

`Curve\ length = d`

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.

`n = (Circumference)/(Curve\ length)`

Circumference is calculated as:

`Circumference = \pi d`

So, we have:

`n = (\pi d)/(d)`

Simplify fraction

`n = \pi`

Hence,
`\pi` of the curve length will fit the circle