Geometry
Class 9-10

Circumference of Circle

C=2πrC = 2\pi r
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C = 2πr

Perimeter of a circle. The ratio C/d = π was one of the first mathematical discoveries.

Real-World Applications

Bicycle wheels — One rotation travels C = 2πr distance.

Running tracks — Calculating lap distances.

Tire mileage — Odometer calculations from wheel rotations.

Fencing — Material needed for circular enclosures.

Belt drives — Pulley belt length calculations.

Clocks — Distance traveled by second hand tip.

Circular motion — Speed = distance/time = 2πr/T.

Cable reels — Wire length from number of turns.

Roller coasters — Loop circumference calculations.

Planetary orbits — Approximate orbit length.

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