Asked by Anonymous

The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its area if its radius increases from 40 mm to 49 mm.
The estimated change in area is nothing mm2.

Answers

Answered by oobleck
A = πr^2
∆A ≈ dr ∆r = 2π*40*(49-40) = 720π

actual change is π(49^2 - 40^2) = 801π
not very close, since ∆r is so big.
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