Question

Calculate the circumference and the area of the circular flower bed

Answer 1

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:

`Radius=(Diameter)/(2)=(14)/(2)=7\;ft`

(a)Circumference

The circumference of a circle of radius r is calculated using the formula:

`C=2\pi r`

Substitute r=7:

`\begin{gathered} C=2*\pi*7 \\ C=14\pi\;ft. \end{gathered}`

The circumference is 14π feet.

(b)Area

The area of a circle of radius r is calculated using the formula:

`A=\pi r^2`

Substitute r=7:

`\begin{gathered} A=\pi*7^2 \\ =\pi*7*7 \\ =49\pi\text{ square feet} \end{gathered}`

The area is 49π square feet.

The first option is correct.