Answer:
[tex]Total = \$942[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]C = (3,4)[/tex]
See attachment for farm
Required
The cost of fencing the farm
First, calculate the radius of the farm.
The radius is represented with AC.
So, we have:
[tex]AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex] ---- distance formula
So, we have:
[tex]AC = \sqrt{(0 - 3)^2 + (0 - 4)^2}[/tex]
[tex]AC = \sqrt{(- 3)^2 + ( - 4)^2}[/tex]
[tex]AC = \sqrt{9+16}[/tex]
[tex]AC = \sqrt{25}[/tex]
[tex]AC = 5[/tex]
Hence:
[tex]r = 5[/tex] --- radius
Calculate the circumference of the circle
[tex]C = 2\pi r[/tex]
[tex]C = 2 * 3.14 * 5[/tex]
[tex]C = 31.4yd[/tex]
If 1 yard costs $30, 31.4 yards will cost:
[tex]Total = 31.4 * 30[/tex]
[tex]Total = \$942[/tex]
