pdf Subtracting The Area Of A Circle From A Square

This worksheet helps students understand area of shaded regions by modeling how one shape can be removed from another. Students find the area of a square first, then subtract the area of a circle that has been “cut out” to determine the remaining shaded area. A worked example at the top of the page clearly demonstrates the process before students begin independent practice. The visual and step-by-step structure reinforces the idea that shaded-region problems are about combining and subtracting areas, not memorizing new formulas. Students also learn the consistent relationship between a square’s side length and the radius of the inscribed circle, helping build geometric reasoning.

Skills Assessed

• Finding the area of squares

• Finding the area of circles using a given radius

• Subtracting areas to determine shaded regions

• Interpreting diagrams and labeled dimensions

• Understanding relationships between side length and radius

What’s Included

• Guided example modeling the subtraction process

• Multiple shaded-region problems

• A variety of units, including inches, centimeters, feet, meters, and yards

• Complete answer key

Classroom Use

• Introduction to shaded-area problems

• Reinforcement after teaching circle area

• Independent practice or homework

• Geometry review or assessment prep

Details

• Grade level: 7th grade

• Topic: Area of shaded regions

• Format: Printable PDF

• Pages: 2

• Answer key included

• ID# 0110