A museum groundskeeper is creating a semicircular statuary garden with a diameter of 33 feet. There will be a fence around the garden. The fencing costs $8.00 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.

Respuesta :

Answer:


Step-by-step explanation:

Since the diameter of the semicircular statuary garden is= 33 feet, then

The circumference of the semicircular statuary garden is=[tex]\frac{{\pi}d}{2}[/tex]

=[tex]\frac{3.14{\times}33}{2}[/tex]

=[tex]51.81[/tex]

Now, the total amount of fencing is the length of the diameter and half of the circumference=51.81+33≈84.81

Cost of fencing per linear foot=$8.00

Cost of fencing altogether=[tex]$8.00{\times}84.81[/tex]

≈$[tex]678.48[/tex]