(a) If A is the area of a circle with radius r and the circle expands as time pa

siroticuvj

siroticuvj

Answered question

2021-11-09

(a) If the area of a circle with radius r expands over time, find dA/dt in terms of dr/dt. 
(b) If oil were to leak from a damaged tanker and spread in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 30 m?

Answer & Explanation

Fachur

Fachur

Beginner2021-11-10Added 17 answers

(a)
A=πr2
dAdt=2πr(drdt)
(b)
rate of area (dA/dt) when r=30m
relationship: A=πr2
so dAdt=2πr(drdt) from part a
dAdt=2π(30)(1)
=60πm2s

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