The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate
the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
1 answer:
Answer:
9.60πcm²
Step-by-step explanation:
Area of circular disk, A = πr²
Differntiate A with respect to r
dA/dr = π * (2r^(2-1)) /(2-1) + C
dA/dr = π * 2r/1
dA/dr = 2πr
dA = 2πr * dr
dA = 2πrdr
dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm
dA = 2π * 24 * 0.2
dA = 9.60πcm²
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