# Arc Length

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. |