How to Calculate the Area of Shaded Regions in Geometry

The Organic Chemistry Tutor

This educational video provides a comprehensive tutorial on calculating the area of shaded regions in geometry. The narrator guides viewers through six distinct problems, progressing from basic shapes to more complex composite figures. The core concept taught is the 'subtraction method,' where the area of a shaded region is determined by calculating the area of the larger outer shape and subtracting the area of the smaller inner shape (or unshaded region). The video covers a variety of geometric shapes including squares, rectangles, circles, triangles, and rhombuses. It reviews essential formulas for calculating the area of these figures. As the problems advance in difficulty, the video introduces and applies more sophisticated mathematical concepts such as the Pythagorean theorem and the properties of special right triangles (30-60-90 triangles) to find missing side lengths required for the area calculations. Teachers will find this video highly valuable for geometry units in middle and high school. It serves as excellent direct instruction or review material for helping students visualize geometric relationships and practice multi-step problem solving. The step-by-step walkthroughs model clear mathematical thinking, demonstrating how to break down complex diagrams into manageable components, label known values, and derive unknown values using geometric properties.