Question

A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch.

Answer 1

Answer:   $1.50(\pi x^2-2\sqrt{2}x^2)$

Step-by-step explanation:

Here the function that shows the total area of mulch,

$m(x)=\pi x^2-2\sqrt{2}x^2$

Also, the function that shows the total cost mulch that requires,

$g(m) = 1.50 m$

By putting the value of m,

We get,

$\implies g(m) = 1.50( \pi x^2-2\sqrt{2}x^2 )$

Where x is the radius of the circle.

Thus, First option is correct.

Answer 2

Answer:

First Option

Step-by-step explanation:

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