area of an oil slick. An oil slick is in the shape of a circle. Given that the a

Question

area of an oil slick. An oil slick is in the shape of a circle. Given that the area of a circle is A(r) = r^2, find the approximate increase in the area of the slick if its radius increases from 1.2 miles and 1.4 miles.
(hint r = 1.4 - 1.2 = .2) Thank you area of an oil slick. An oil slick is in the shape of a circle. Given that the area of a circle is A(r) = r^2, find the approximate increase in the area of the slick if its radius increases from 1.2 miles and 1.4 miles.
(hint r = 1.4 - 1.2 = .2) Thank you

Explanation / Answer

Let's call the increase in area A(r). A(r) = A(r) You are given:   A(r) = r^2 Substituting r for r yields A(r) = (r)^2 So your equation for the increase in area becomes: A(r) = (r)^2 In your hint, you are given r. (hint r = 1.4 - 1.2 = .2) Substitute that into your equation. A(r) = (.2)^2 Punching this into your calculator gives you your answer: A(r) .13 square miles

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