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

Explanation:

Step1: Calculate the radius

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

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = \pi d\) (or \(C = 2\pi r\)). Using \(d = 14\), we get \(C=\pi\times14 = 14\pi\) feet.

Step3: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substituting \(r = 7\), we have \(A=\pi\times7^{2}=\pi\times49 = 49\pi\) square feet.

Answer:

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