Zombieboy0408
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A circular pond is to be surrounded by a gravel path. Use the diagram to find the square feet of gravel needed if we know the pond has a radius of 200 ft and the radius of the whole space is 250 ft? A. 65,523 ft2 B. 57,234 ft2 C. 86,270 ft2 D. 70,686 ft2

image: https://my.pennfoster.com/exams/images/986160RR_Q34.png

Respuesta :

GGray15
I think the correct answer is 70,650 ft², but I would make sure with someone else just in case. 

Hope this helps!

Answer:

70686 sq.ft.

Step-by-step explanation:

Given : Radius of the whole space is 250 ft.

            Radius of pond is 200 ft.

To Find: the square feet of gravel needed

Solution:

Area of whole space = [tex]\pi r^2[/tex]

                                  = [tex]3.14(250)^2[/tex]

                                  = [tex]196250[/tex]

Area of Pond = [tex]\pi r^2[/tex]

                                  = [tex]3.14(200)^2[/tex]

                                  = [tex]125600[/tex]

So, the square feet of gravel needed =[tex]196250-125600[/tex]

                                                              =[tex]70650[/tex]

Hence 70650 sq.ft. of gravel is needed.

So, Option D is approximately equal to the obtained answer

So, Option D is true.

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