Question

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.What amount of railing would be needed to go completely around the outer edge of the sidewalk

Answer 1

91.14 feet

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 =
`(Diameter)/(2) =(29)/(2) ==14.5\ feet`

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:

`Circumference\ of\ circle=2\pi r`

`=2*(22)/(7) *14.5\\ \\ =(638)/(7) \\ \\ =91.14\ feet`

Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.