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 = 14 feet, area = 14π square feet circumference = 14π feet, area = 196π square feet circumference = 7π feet, area = 49π square feet circumference = 14π feet, area = 49π square feet

Explanation:

Step1: Recall circle formulas

The formula for the circumference of a circle is \( C = \pi d \) (where \( d \) is the diameter) and the formula for the area is \( A=\pi r^{2}\) (where \( r \) is the radius, and \( r=\frac{d}{2}\)).

Step2: Calculate circumference

Given \( d = 14 \) feet. Using \( C=\pi d \), we substitute \( d = 14 \), so \( C = 14\pi \) feet.

Step3: Calculate radius

The radius \( r=\frac{d}{2}=\frac{14}{2} = 7 \) feet.

Step4: Calculate area

Using \( A = \pi r^{2}\), substitute \( r = 7 \). So \( A=\pi\times7^{2}=49\pi \) square feet.

Answer:

circumference = \( 14\pi \) feet, area = \( 49\pi \) square feet