Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. 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 = 10 feet, area = 10π square feet circumference = 5π feet, area = 25π square feet circumference = 10π feet, area = 100π square feet

Explanation:

Step1: Recall formulas for circle

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

Step2: Calculate circumference

Given \( d = 10 \) feet, using \( C=\pi d \), we get \( C = \pi\times10= 10\pi \) feet.

Step3: Calculate radius and area

First, find the radius: \( r=\frac{d}{2}=\frac{10}{2} = 5 \) feet. Then, using the area formula \( A = \pi r^{2}\), we substitute \( r = 5 \) to get \( A=\pi\times5^{2}=\pi\times25 = 25\pi \) square feet.

Answer:

A. circumference \( = 10\pi \) feet, area \( = 25\pi \) square feet