View source for User:YoooMJ/sandbox


{{class project|teacher=swim123blue|link=Wikipedia:Schools/Projects/easell}}

== Definition ==
[[File:The_relationship_of_Arc_length_and_the_certh.png|thumb|The arc length on the part of a circle.]]
'''Arc length''' referred to the [[distance]] along the [[Curve|arc/curve]],<ref name="Math">{{cite web|title=Definition of Arc Length|url=https://www.mathsisfun.com/definitions/arc-length.html|publisher=Math Is Fun|accessdate=May 30, 2021}}</ref> denoted by "S", the target arc can be denoted by"L" or "<math>\overset{\frown}{MN}</math>", as opposed to the distance between its [[Interval (mathematics)|endpoints]], which is known as the chord [[length]] and is denoted by "C".

Not all '''curves''' can be defining length, curves that can be defined by the length are called the rectifiable curves.<ref>{{Citation|title=弧长|date=2020-11-23|url=https://zh.wikipedia.org/w/index.php?title=%E5%BC%A7%E9%95%BF&oldid=62899641|work=维基百科，自由的百科全书|language=zh-Hans-CN|access-date=2023-05-30}}</ref>

== Calculate the Arc length on a [[circle]] ==
Depending on the given, there are two different ways to find the '''Arc Length'''.<ref>{{Cite web|title=Arc Length - Formula, How to Find Length of an Arc {{!}} Arc of a Circle|url=https://www.cuemath.com/geometry/arc-length/|access-date=2023-05-30|website=Cuemath|language=en}}</ref>

=== With the given of Center Angle & [[Radius]] ===
Arc length on a circle can be measured as '''Arc length = s = θ/360 of 2πr = θ/360 × 2πr = rθ × π/180.''' (θ represents the degree of the [[:en:Central_angle|Center angle]],"r" represents the Radius of the circle).

=== With the given of Curvature & Radius ===
[[File:Arc on a circle.png|thumb|Arc on circle]]
Arc length on a circle can be measured as '''Arc length= s = r × θ'''
[[File:Chsmjarclength.png|thumb|calculate the arc length]]

== Calculate the Arc length is not on a circle ==
The original method for calculating the arc length involves dividing the arc into several parts to obtain an [[estimated]] answer:

# The curve is divided into smaller segments, and the length of each segment can be calculated by the [[Pythagorean theorem]] or other methods.
# The total length of the curve can be obtained by [[Sum|summing]] each segment.

== References ==
{{reflist}}{{Math-stub}}