Question

a gardener makes a new circular flower bed. the bed is fourteen feet in diameter. calculate the circumference and the area of the circular flower bed. circumference = 14π feet, area = 49π square feet circumference = 7π feet, area = 49π square feet circumference = 14 feet, area = 14π square feet circumference = 14π feet, area = 196π square feet

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference $C$ of a circle is $C = \pi d$, where $d$ is the diameter. Given $d = 14$ feet, then $C=\pi\times14 = 14\pi$ feet.

Step2: Recall the formula for area

The formula for the area $A$ of a circle is $A=\pi r^{2}$, where $r$ is the radius. Since the diameter $d = 14$ feet, the radius $r=\frac{d}{2}=\frac{14}{2}=7$ feet. Then $A=\pi\times7^{2}=49\pi$ square - feet.

Answer:

circumference = $14\pi$ feet, area = $49\pi$ square feet