Geometry
Class 9-10

Area of Circle

A=πr2A = \pi r^2
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A = π × r²

Area enclosed by a circle of radius r. Derived by integrating 2πr from 0 to r.

Real-World Applications

Pizza sizing — 12" pizza has 44% more area than 10" pizza.

Land measurement — Circular plot area for pricing.

Pipe flow — Flow rate proportional to πr² (cross-sectional area).

Wheel design — Tire contact patch calculations.

Pool covers — Material needed for circular pools.

Satellite dishes — Signal collection area.

Circular gardens — Fencing and planting calculations.

Manhole covers — Why they're circular: can't fall through.

Compact discs — Data storage density.

Cell biology — Cell membrane surface area.

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