Answer:
179 square feet ( approximate )
Step-by-step explanation:
Given:
A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet.
Question asked:
What is the approximate area of the path alone? Use 3.14 in terms of pie.
Solution:
First of all we will find area of circular garden and then combined area of garden and path and then subtract the garden area from combined area.
Radius, r of circular garden = 8 feet
[tex]Area\ of\ circle=\pi r^{2}[/tex]
[tex]=3.14\times(8)^{2} \\ \\ =3.14\times64\\ \\ =200.96\ square\ feet[/tex]
Combined radius, R = Radius of circular garden + width of path
= 8 + 3 = 11 feet
[tex]Combined\ area\ of\ the\ circular\ garden\ and\ path=\pi R^{2}[/tex]
[tex]=3.14\times(11)^{2} \\ \\ =3.14\times121\\ \\ =379.94\ square\ feet[/tex]
Now, area of the path = Combined area - Garden area
= 379.94 - 200.96
= 178.98 square feet
Therefore, the approximate area of the path alone is 179 square feet.
