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 = 10π feet, area = 25π square feet circumference = 5π feet, area = 25π square feet circumference = 10π feet, area = 100π square feet circumference = 10 feet, area = 10π square feet

Explanation:

Step1: Calculate 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 circumference is \(C = \pi d\). Substituting \(d = 10\), we get \(C=\pi\times10 = 10\pi\) feet.

Step3: Calculate the area

The formula for area of a circle is \(A=\pi r^{2}\). Substituting \(r = 5\), we have \(A=\pi\times5^{2}=\pi\times25=25\pi\) square feet.

Answer:

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