pdf Area of Shaded Regions - Squares, Rectangles and Circles
Tagged in 6.G.A.1, 6th grade, 7.G.B.4, 7.G.B.6, 7th grade, approximation, area, area of circles, circles, composite area, geometry, missing dimensions, pi, rectangles, shaded area, shaded regions, square units, squares, subtraction of areas, unshaded area
This shaded area worksheet gives students practice finding the area of regions formed by overlapping or nested geometric figures. Students determine the necessary whole and component areas and then use addition or subtraction to calculate the requested shaded region. The six problems include rectangles, squares, and circles presented in several different configurations.
The activity develops geometric reasoning by requiring students to decide which measurements are needed before calculating. Students find missing dimensions by subtraction, compare whole figures with unshaded interior regions, and subtract circular areas from rectangular or square regions. Problems involving circles use 3.14 as an approximation for π, reinforcing the distinction between exact and approximate area calculations.
This resource works well for guided practice, independent practice, homework, intervention, review, or assessment. It strengthens students’ understanding of area relationships and prepares them for more advanced work involving composite figures, circles, surface area, and real-world geometric problem solving.
Skills Assessed
- Finding the area of shaded regions
- Finding missing dimensions by subtraction
- Finding the area of rectangles and squares
- Finding the area of circles
- Subtracting component areas from whole areas
- Using 3.14 as an approximation for π
- Expressing area in square units
Details
- 3 pages
- 6 shaded-area problems
- Rectangles, squares, and circles
- Addition and subtraction area reasoning
- Whole-number dimensions
- Complete answer key included
- Detailed calculations and final answers shown
ID# 0804