Oil from a leaking container radiates outwards in the form of a circular film on the water surfaces. If the area of the circle increases at rate of 900m²/s, how fast is the radius of the circle
increasing when the area is 1400 z m??
[6 marks)
[Ans:3.83m/s]

Step by Step Explanation:

The area a is defined as

Now take derivative of the above expression with respect to time:

Solving for dr/dt, we then get

Note that da/dt = 900 m^2/s and when the area of the oil slick is 1400 m^2, the radius r is r = √(1400/π) = 21.1 m. Therefore,the rate at which the radius is increasing dr/dt is

question is incomplete.