Geometry
Class 9-10

Surface Area of Sphere

A=4πr2A = 4\pi r^2
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A = 4πr²

Surface area of a sphere equals 4 times the area of a circle with same radius.

Real-World Applications

Painting — Amount of paint for spherical objects.

Basketball covering — Leather panel calculations.

Earth surface — 510 million km².

Pressure vessels — Material needed for spherical tanks.

Balloon surface — Rubber needed for balloons.

Astronomy — Star luminosity depends on surface area.

Heat transfer — Spherical radiator design.

Medicine — Drug coating on spherical pills.

Golf ball dimples — Total dimple surface area.

Cell membranes — Spherical cell surface for nutrient exchange.

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