Question

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 $
.

Answer 1

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

$C = 2\pi r\\l = \frac{c}{2} \\l = \pi r$

Data;

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

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

$l = \pi r\\l = 3.14 * 13.5\\l = 42.39ft$

The length of the fence is equal to 42.39ft

The cost of fencing would be

$42.39 * 7.75 = 328.5225$

The cost of fencing the garden would be $328.52 approximately

Learn more on circumference of a circle here;

brainly.com/question/14283575

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