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Find the approximate increase in the area of a circular disc if its diameter is increased from 44cm to 44.4cm

  • Calculus - linearization -

    Since the exact increase can be calculated readily by
    π(r2²-r1²)
    =π(44.4²-44²)
    =35.36π

    I assume you are working on linearization in calculus.

    Let
    A(r)=πr²
    A'(r)=2πr
    Approximate increase in area
    =A'(r)Δr
    =2πr*Δr
    =2π(44)(0.4)
    =35.2π (approximately)

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