Grade 6 · Geometry · Standard 7.G.B.4
Area of a circle
Students discover that a circle's area is π·r² — not by memorizing it, but by cutting a circle into wedges and rearranging them into a shape they already know. This unit moves from that visual intuition to the formula, then to applying it in real measurement problems. The resources below are laid out in teaching order, from first idea to independent practice.
LESSON VIDEO
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Lesson video
A short walkthrough to play in class or assign for flipped/at-home viewing.
WHAT STUDENTS WILL LEARN
✓Identify the radius, diameter, and circumference of a circle and how they relate
✓Explain why the area of a circle equals π·r² using the wedge / rearrangement argument
✓Calculate the area of a circle given its radius or diameter
✓Apply the formula to real-world measurement and word problems