How to define arc length and how it is different from arc measure; how to calculate the length of an arc.
How to derive the equation for the distance between two points using the Pythagorean Theorem.
How to derive the distance formula for polar coordinates.
How to find the speed of transit when the time of two different legs is known.
How to define the components and length of a position vector in three dimensions.
How to determine the triangle side inequalities.
How to derive the equation for a circle using the distance formula.
How to use the distance formula to derive the equation for a circle.
How to find the shortest distance between a point and a line.
How to derive the formula for the midpoint of a segment in three dimensions.
How to define a chord; how to describe the effect of a perpendicular bisector of a chord and the distance from the center of the circle.
An explanation of displacement.
How to understand and find the length of waves.
The RFLP method of DNA Fingerprinting.