A museum groundskeeper is creating a semicircular statuary garden with a diameter of 36 feet. There will be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.

Question

Elliot Mcdowell

Mathematics

16 April, 20:58

A museum groundskeeper is creating a semicircular statuary garden with a diameter of 36 feet. There will be a fence around the garden. The fencing costs $7.50 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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Kiana Ochoa · Answer 1

First, we need the circumference, using dπ. That means the total circumference is 36π, so the semi-circle's circumference is 18π. Then, we add the cross-section, meaning we add 36.

So, the perimeter is 18π + 36. Substituting π, we get 56.52 + 36 = 92.52.

Then we multiply by $7.50 giving us $693.90.