Geometry

Rectangle Diagonal Formula: Find the Corner-to-Corner Distance

Find a rectangle's diagonal using d = √(length² + width²). Follow worked examples, mixed-unit checks, inverse side calculations, and measurement limits.

6 min read · Practical examplesGeometry

How to Find the Area of an Irregular Shape Using Simple Shapes

Find irregular-shape area by splitting it into rectangles and triangles or subtracting cutouts. Check shared edges, overlaps, missing lengths, and units.

6 min read · Practical examplesGeometry

Cylinder Volume From Diameter and Height: Formula and Examples

Calculate cylinder volume from diameter and perpendicular height with V = πd²h/4. Check cubic units, liter conversion, and full-cylinder assumptions.

6 min read · Practical examplesGeometry

Law of Cosines: How to Solve SSS and SAS Triangles

Solve SSS and SAS triangles with the law of cosines. Match opposite sides and angles, check triangle inequalities, and verify worked solutions in degrees.

6 min read · Practical examplesProbability

Conditional Probability: How to Find P(A Given B)

Find conditional probability with P(A given B) = P(A and B)/P(B). Read a two-way table, reverse the condition correctly, and check calculator input direction.

6 min read · Practical examplesTime

UTC vs. GMT: What Is the Difference for Time Conversion?

Understand UTC vs. GMT for everyday time conversion. Distinguish zero offset from UK local time, use dated regional zones, and verify clear examples.

6 min read · Practical examples