Answer:
Circumference = 14π feet, Area = 49π square feet
Explanation:
Given that the diameter of the circular flower bed = 14 feet.
First, find the radius of the circle:
[tex]Radius=\frac{Diameter}{2}=\frac{14}{2}=7\;ft[/tex]
(a)Circumference
The circumference of a circle of radius r is calculated using the formula:
[tex]C=2\pi r[/tex]
Substitute r=7:
[tex]\begin{gathered} C=2\times\pi\times7 \\ C=14\pi\;ft. \end{gathered}[/tex]
The circumference is 14π feet.
(b)Area
The area of a circle of radius r is calculated using the formula:
[tex]A=\pi r^2[/tex]
Substitute r=7:
[tex]\begin{gathered} A=\pi\times7^2 \\ =\pi\times7\times7 \\ =49\pi\text{ square feet} \end{gathered}[/tex]
The area is 49π square feet.
The first option is correct.
