The area Ar in square meters of a circular algae colony with

The area A(r)

(in square meters) of a circular algae colony with radius r meters is given by A(r)=pir^2. Basically that\'s A(r)= pi r square.

The radius M(t)

(in meters) after t minutes is given by M(t)= 10/3 t.

Write a formula for the area

Z(t)

(in square meters) of the algae colony colony after t minutes.

You don\'t have to simplify. Thanks.

Solution

A(r)=pir^2 where r is the radius of algae in meters

Radius after t minutes is given by M(t)= 10/3 t.

area Z(t) after t minutes = pi*(10t/3)^2 = pi*100t^2/9

   = pi(100t^2)/9 square meters