The area of the given circle is 36.298 cm square.
Here, we are given that f is the function that determines the area of a circle (in square cm) that has a radius of r cm.
The area of a circle is given the the formula as follows-
area of a circle = πr^2
⇒ f(r) = πr^2
The value of π is approximately 3.14
⇒ f(r) = 3.14r^2
Now, we are given that the radius of a circle is 3.4 cm.
Thus, its area will be-
f(3.4) = 3.14 × 3.4 × 3.4
= 3.14 × 11.56
= 36.298
Thus, the area of the given circle comes out to be 36.298 cm square.
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