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plz help, Randy is fencing off a semi-circular region in his backyard against a wall. The semi-circular region has a diameter of 24 feet. The fencing will go along the arc only. How much fencing does Randy need?

Respuesta :

MrRoyal

Answer:

[tex]Fence = 41.408ft[/tex]

Step-by-step explanation:

Given

[tex]d = 24ft[/tex]

Required

Determine the length of the wall

First, we calculate the circumference (C) of the semi-circle

[tex]C =\pi d[/tex]

[tex]C = 3.142 * 24[/tex]

[tex]C = 75.408[/tex]

The length of the fence is calculated by subtracting the diameter from the circumference:

[tex]Fence = C - d[/tex]

[tex]Fence = 75.408ft - 24ft[/tex]

[tex]Fence = 41.408ft[/tex]

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