A museum groundskeeper is creating a semicircular statuary garden with a diameter of 27 feet. There will be a fence around the garden. The fencing costs $7.75 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.

The fencing will cost about $
.

Question

01-06-2022
Mathematics

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A museum groundskeeper is creating a semicircular statuary garden with a diameter of 27 feet. There will be a fence around the garden. The fencing costs $7.75 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.

The fencing will cost about $
.

Sagot :

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Lhabdulsamirahmedidn Lhabdulsamirahmedidn · Answer 1 · 2022-06-03T06:25:21-04:00

To calculate the cost of the fence, we have to find the length of the semi-circle. The cost of fencing the garden would be $328.52 approximately

Circumference of a Circle

To find the length of the fence, we have to calculate the circumference of the semi-circle and divide it by 2

[tex]C = 2\pi r\\l = \frac{c}{2} \\l = \pi r[/tex]

Data;

diameter = 27ft
r = diameter/2 = 13.5ft
π = 3.14

Let's substitute the values and calculate the length of the fence.

[tex]l = \pi r\\l = 3.14 * 13.5\\l = 42.39ft[/tex]

The length of the fence is equal to 42.39ft

The cost of fencing would be

[tex]42.39 * 7.75 = $328.5225[/tex]

The cost of fencing the garden would be $328.52 approximately

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Sagot :

Circumference of a Circle

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