Answer:
Circumference of the circle after t seconds = [tex]8\pi t[/tex] = 25.12t
Step-by-step explanation:
Given
radius of each circular wave will increase 4
centimeters per second
In 1 second radius of circular wave = 4cm
in 1*t second radius of circular wave = 4*t cm
Thus, radius of circular wave after t second will be 4*t cm
We know that circumference of circle is given by = [tex]2\pi r[/tex]
where r is the radius of the circle
Thus, radius of circular wave after t second will be = [tex]2\pi[/tex]* radius of circular wave after t second = [tex]2\pi 4t = 8\pi t[/tex]
taking [tex]\pi[/tex]= 3.14
radius of circular wave after t second will be = [tex]8*3.14*t= 25.12t[/tex]
Thus, circumference of the circle after t seconds = [tex]8\pi t[/tex] = 25.12t
