SOLUTION: MY QUESTION IS: JUST OUTSIDE THE PICNIC SHELTER IS A FOUNTAIN. THE BASE OF THE FOUNTAIN IS CIRCULAR WITH A DIAMETER OF 5 FEET. AROUND THE FOUNTAIN IS A FLAGSTONE WALKWAY WHICH IS

Algebra ->  Circles -> SOLUTION: MY QUESTION IS: JUST OUTSIDE THE PICNIC SHELTER IS A FOUNTAIN. THE BASE OF THE FOUNTAIN IS CIRCULAR WITH A DIAMETER OF 5 FEET. AROUND THE FOUNTAIN IS A FLAGSTONE WALKWAY WHICH IS      Log On


   



Question 740162: MY QUESTION IS:
JUST OUTSIDE THE PICNIC SHELTER IS A FOUNTAIN. THE BASE OF THE FOUNTAIN IS CIRCULAR WITH A DIAMETER OF 5 FEET. AROUND THE FOUNTAIN IS A FLAGSTONE WALKWAY WHICH IS 18 INCHES WIDE. ON THE OUTSIDE OF THE WALKWAY, YOU NEED TO INSERT SMALL FENCE.
1) HOW MUCH FENCING DO YOU NEED?
2) IF FENCING COSTS $4 PER YARD, HOW MUCH WILL IT COST?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given;
diameter of the fountain: d=5ft
flagstone walkway is 18in wide
convert
18in to ft: 18in=%2818%2F12%29ft=1.5ft
to find out how much fence you need, you need a perimeter of circle made from fountain base and flagstone walkway together

since a radius of that circle is equal to radius of fountain base plus 18in, first find radius of fountain base:
given diameter of the fountain d=5ft; so, radius is r=5ft%2F2=2.5ft
then, radius of fountain base and flagstone walkway together is r%5B1%5D=2.5ft%2B1.5ft=4ft
now find perimeter of that circle:
P=2r%5B1%5Dpi
P=2%2A4ft%2A3.14
P=25.12ft

so,
1. you need 25.12ft fencing
2. if fencing cost $4.00 per yard, then we need to convert ft to yd
25.12ft=8.3733yd
then cost is $8.3733+%2A4.00 => $33.49