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Surface Area of a Sphere

geometry · deriving the surface area formula for a sphere

Through this hands-on activity, your students will learn why the surface area of a sphere is derived from A = 4πr².

Surface Area of a Sphere is a Grade 8 hands-on derivation of the formula A = 4πr². Students think of surface area as the amount of wrapping needed to cover a sphere, compare that covering with a rectangle whose dimensions are circumference and diameter, and then substitute C = 2πr and d = 2r. The algebra simplifies to 4πr².

Use it as a conceptual geometry lesson when students already know circumference and diameter formulas. The wrapping-paper model gives the surface-area formula a geometric explanation instead of presenting it as something to memorize. Create a free Find a Math Game account to generate teacher-ready lesson support for Surface Area of a Sphere. No credit card is required, with 3 lifetime lesson generations.

Grades:
8
Players:
1 player
Materials:
paper

Standards alignment

8.G.C.9 · primary

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