Question

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.

Answer 1

Explanation:

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

The circumference of the semicircular statuary garden is=
`\frac{{\pi}d}{2}`

=
`\frac{3.14{*}33}{2}`

=
`51.81`

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=
`$8.00{*}84.81`

≈$
`678.48`