A museum groundskeeper is creating a semicircular statuary garden with a diameter of 30 feet. There will be a fence around the garden. The fencing costs $9.25 per linear foot. About how much will the fencing cost altogether?

THANK YOU!

Half the circumference of the circle.

Then just multiply that by the cost per foot.

well, what is half the circumference of the circle?

Then just multiply that by the cost per foot.

To calculate the fencing cost, we need to find the perimeter of the semicircular statuary garden and then multiply it by the cost per linear foot.

The diameter of the garden is given as 30 feet. The formula to find the perimeter of a semicircle is half the circumference of a full circle.

First, let's find the circumference of the full circle:
C = πd
= π x 30
= 94.25 feet (approximately, using 3.14 for π)

Since this is a semicircle, the perimeter of the semicircular statuary garden is half the circumference of the full circle:
Perimeter = 0.5 x 94.25
= 47.125 feet (approximately)

Now, we can calculate the cost of the fencing:
Cost = Perimeter x Cost per linear foot
= 47.125 x $9.25
= $436.28 (approximately)

Therefore, the fencing cost for the semicircular statuary garden will be approximately $436.28.

I like pizza, ice-cream, and chicken.