The radius of a puddle is claimed to be 12.0 inches, correct to within 0.01 inch. Use linear approximation to estimate the resul ting error, measured in square inches, in the area of the puddle.
2 answers:
Answer:
I think the answer is 23
Answer:
the resulting error is about 0.754 in²
Step-by-step explanation:
A(r) -A(r0) ≈ dA/dr·(r -r0)
The area of a circle is given by ...
A(r) = πr²
so the derivative is
dA/dr = 2πr
and the area error is ...
dA/dr·(r -r0) = 2π(12 in)(0.01 in) = 0.24π in² ≈ 0.754 in²
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