Is this Possible?

I was wondering about the comparison between the length of a line segment and arc length, but I have no idea how to construct it. What I am wondering is this: if you have an arc length of length "x", and you somehow get it to intersect (at two points) a line segment of length "x", where will they intersect? Here's an illustration of what I am thinking about:

So I am wondering how to construct this, if not, then what would happen if we could find the points of intersection between the arc and the line segment? If this helps, think about having a string pulled tight, and then tugging on the string. The string becomes arced, but not any bigger, so it should intersect in the same place, right? Hopefully that is clear enough, thank you.

Note by Drex Beckman
2 years, 6 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

I am unable to understand where you want to get at. Lemme tag some people who may be able to help. @Nihar Mahajan@Aareyan Manzoor

- 2 years, 5 months ago