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

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 = $\frac{Diameter}{2} =\frac{29}{2} ==14.5\ feet$

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:

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

                                        $=2\times\frac{22}{7} \times14.5\\ \\ =\frac{638}{7} \\ \\ =91.14\ feet$

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