Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f ( r ) represents the area of a circle (in square cm) that has a radius of r cm. Use function notation to respond to each item below. Represent the area (in square cm) of a circle that has a radius of 3.4 cm.



Answer :

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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