Respuesta :
Answer:
91.14 feet
Step-by-step explanation:
Given:
In a park,a sidewalk is built around the edge of a circular pond.
The sidewalk is 7 feet wide, and the pond measure 15 feet across.
Question asked:
What amount of railing would be needed to go completely around the outer edge of the sidewalk?
Solution:
From distance from one edge of the pond to the another = 15 feet
That means diameter of the pond = 15 feet
And width of the sidewalk = 7 feet all around
combined diameter = 15 + 7 + 7 = 29 feet
Radius,r = [tex]\frac{Diameter}{2} =\frac{29}{2} ==14.5\ feet[/tex]
That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet
Now, we will have to find circumference of outer circular edge of sidewalk:
[tex]Circumference\ of\ circle=2\pi r[/tex]
[tex]=2\times\frac{22}{7} \times14.5\\ \\ =\frac{638}{7} \\ \\ =91.14\ feet[/tex]
Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.
