Respuesta :

The value of [tex]f(4)[/tex] is 50.24

Explanation

The area of a circle with radius [tex]r[/tex] is given as:  [tex]f(r)=3.14r^2[/tex]

Now, [tex]f(4)[/tex] means the value of [tex]f(r)[/tex] when [tex]r=4[/tex]. So, we will just plug [tex]r=4[/tex] into both sides of the above function.

[tex]f(4)= 3.14(4)^2\\ \\ f(4)= 3.14\times 16 =50.24[/tex]

Thus, the value of [tex]f(4)[/tex] is 50.24

Answer:

[tex]f(4)=50.24[/tex]

Step-by-step explanation:

We are given the function representing the area of a circle as,

[tex]f(r)=3.14r^2[/tex], where 'r' is the radius of the circle.

It is required to find f(4).

So, we have,

[tex]f(r)=3.14r^2[/tex]

implies [tex]f(4)=3.14\times 4^2[/tex]

implies [tex]f(4)=3.14\times 16[/tex]

implies [tex]f(4)=50.24[/tex]

Thus, the value of f(4) is 50.24.