Geometry methods
- How to find the area of a polygon from its vertices
Calculate the area of any non-self-intersecting polygon using the shoelace formula with sequentially ordered vertex coordinates.
- How to find the equation of a line perpendicular to another
Learn how to find the equation of a perpendicular line by calculating the negative reciprocal of the slope and applying the point-slope formula.
- How to find the distance and midpoint between two points
Learn how to calculate the distance and midpoint between two points in a Cartesian plane using standard coordinate geometry formulas.
- How to find arc length and sector area
Calculate arc length and sector area by scaling circumference and total area using the fraction of the central angle.
- How to find the equation of a circle from its center and a point
Learn how to calculate the standard equation of a circle given its center coordinates and a point on its circumference using the distance formula.
- How to find the area of a triangle with Heron's formula
Use Heron's formula to calculate the area of any triangle when all three side lengths are known, without needing to find the altitude.
- How to solve a triangle with the law of cosines
Use the Law of Cosines to calculate unknown side lengths and angles in SAS and SSS triangles.
- How to solve a triangle with the law of sines
Learn how to use the law of sines to find missing side lengths and angle measures in non-right triangles given AAS, ASA, or SSA configurations.