The area of a circular oil slick on the surface of the sea is increasing at a rate of [150m^2/s] how fast is the radius changing when:

a) the radius is 25 m

b) the area is [1000 m^2]

Answer with Step-by-step explanation:

We are given that

a.Radius =25 m

We have to find rate of change of radius.

We know that

Area of circle,

Differentiate w.r.t time

Substitute the values then we get

b.A=

Substitute the values then we get

Substitute the values then we get

m/s

m/s