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#100 · 2D measurement · Classes 6–12

Real-life Applications

Mathematics in buildings, bridges, wheels, money and science. Shown: a parabolic arch bridge.

📐 Formula

Arch: y = rise × (1 − (2x/span)²), a parabola with vertex at the top

✏️ Worked example

Span 40 m, rise 10 m: at 10 m from the centre the arch is 10 × (1 − 0.25) = 7.5 m high.

🌍 Where it is used

Engineering, finance, medicine, sport and computing.

❓ Quick check

A parabolic arch is strong because loads follow…