Question

a gardener makes a new circular flower bed. the bed is ten feet in diameter. calculate the circumference and the area of the circular flower bed. circumference = 10 feet, area = 10π square feet circumference = 10π feet, area = 100π square feet circumference = 5π feet, area = 25π square feet circumference = 10π feet, area = 25π square feet

Explanation:

Step1: Find the radius

Given diameter \(d = 10\) feet. Since \(r=\frac{d}{2}\), then \(r=\frac{10}{2}=5\) feet.

Step2: Calculate the circumference

The formula for the circumference of a circle is \(C = 2\pi r\) or \(C=\pi d\). Using \(C=\pi d\) (since \(d = 10\) feet), we get \(C = 10\pi\) feet.

Step3: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substituting \(r = 5\) feet, we have \(A=\pi\times(5)^{2}=25\pi\) square feet.

Answer:

circumference \(= 10\pi\) feet, area \(= 25\pi\) square feet (the fourth option)