# Length of curves module

## Overview

After completing this section, students should be able to do the following.

- Apply the procedure of “Slice, Approximate, Integrate” to derive a formula for the length of a curve segment.
- Understand the connection between the Pythagorean Theorem and the length of curves.
- Set up an integral or sum of integrals with respect to xx and yy that gives the length of a curve segment.
- Evaluate integrals that involve square roots.

# Length of curves

## Ximera Module

We can use the procedure of ``Slice, Approximate, Integrate" to find the length of curves.