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Question
Assume that the cross-section of the artery of human is circular. A drug is given to a patient to dilate his arteries. If the radius of an artery is increased from 2 mm to 2.1 mm, how much is cross-sectional area increased approximately?
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Solution
The radius of an artery section = 2 mm
dr = 2.1 – 2
= 0.1
Area A = πr2
dA = 2πrdr
= 2 × π × 2 × 0.1
= 0.4π
Increased area = 0.4π mm2
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