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Arc Length

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Arc length is the length along a curve if it were to be straightened out.

Arc length is a college-level concept that would be first encountered in a Calculus II course. It is an Advanced Placement Calculus BC topic.

Examples

Perimeter: The perimeter is a length around the boundary of a closed two-dimensional region. The perimeter of a circle is called its circumference.

Prerequisites

Calculus: Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects.
Integral: An integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals and derivatives are the fundamental objects of calculus.
Perimeter: The perimeter is a length around the boundary of a closed two-dimensional region. The perimeter of a circle is called its circumference.

Classroom Articles on Calculus II (Up to College Level)

  • Convergent Series
  • Radius of Convergence
  • Exponential Growth
  • Ratio Test
  • Harmonic Series
  • Surface of Revolution
  • Maclaurin Series
  • Taylor Series
  • Power Series