How Do You Calculate the Area of Shaded Regions?

By Staff WriterLast Updated Mar 31, 2020 11:04:20 AM ET

To find the area of the shaded region, first find the area of the entire shape. Then find the area of the shape that is not shaded. Finally, subtract the area that is not shaded from the area of the entire shape.


Finding the area of the shaded portion of the shape or any shape depends on the shape in question. There are different formulas for finding the area for different shapes. One needs to either know these values, have them provided or be able to look them up in a reference table. Some common shapes that one might be asked to find the areas for are circles, squares, rectangles, rhombuses, parallelograms and trapezoids. Some of these formulas are simple. For example, to find the area of a rectangle, simply multiply the length of the shape by its width. Other area formulas are more complicated and require one to know or look up certain reference values. The area of a circle, for example is the numerical equivalent of pi times the circle's radius squared. When using pi in calculations, the standard number is 3.14. Finding the area of the shaded region is a common task done in basic geometry classes.