A museum groundskeeper is creating a semicircular statuary garden with a diameter of 29 feet. There will be a fence around the garden. The fencing costs $7.25 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.

Question

Ashtyn Spence

Mathematics

6 July, 08:48

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 29 feet. There will be a fence around the garden. The fencing costs $7.25 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.

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Answers (1)

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Luis · Answer 1

The fencing will cost $330.09

Step-by-step explanation:

First we have to calculate the perimeter of the semicircle for that we use the following formula:

d = diameter = 29ft

s = semicircle

π = 3.14

s = d * 1/2 * π

we replace the values that we know

s = 29ft * 1/2 * 3.14

s = 45.53ft

Now we multiply the number of feet by the price of what comes out 1 foot of fence

45.53 * $7.25 = 330.0925

Round to the nearest hundredth

$330.0925 = $330.09