It is given that the area of the circular garden = 100 [tex]ft^2[/tex]
Area of circle with radius 'r' = [tex]\pi r^2[/tex]
We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.
Since, area of circular garden = 100
[tex]\pi r^2 = 100[/tex]
[tex]\frac{22}{7} \times r^2 = 100[/tex]
[tex]r^2 = \frac{700}{22}[/tex]
[tex]r^2 = 31.8[/tex]
[tex]r = \sqrt{31.8}[/tex]
So, r = 5.6 ft
r = 6 ft (approximately)
Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.
So, Option A is the correct answer.
The given garden is circular in shape with area 100 square feet.
Area of the garden = πr²
Given area = 100 square feet
Hence,
[tex]3.14r^{2}=100[/tex]
[tex]r^{2}=\frac{100}{3.14}[/tex]
[tex]r^{2}=31.847[/tex]
r=[tex]\sqrt{31.847}[/tex]
= 5.6433 which is approximately 6.
Hence, option A = 6 ft is the answer.
