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 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:

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

Step1: Recall formulas for circle

Circumference of a circle: \( C = \pi d \) (where \( d \) is diameter).
Area of a circle: \( A = \pi r^2 \) (where \( r \) is radius, \( r=\frac{d}{2} \)).

Step2: Calculate circumference

Given \( d = 10 \) feet.
Using \( C = \pi d \), substitute \( d = 10 \):
\( C = \pi \times 10 = 10\pi \) feet.

Step3: Calculate radius

Radius \( r=\frac{d}{2}=\frac{10}{2}=5 \) feet.

Step4: Calculate area

Using \( A = \pi r^2 \), substitute \( r = 5 \):
\( A = \pi \times 5^2 = \pi \times 25 = 25\pi \) square feet.

Answer:

Step1: Recall formulas for circle

Circumference of a circle: \( C = \pi d \) (where \( d \) is diameter).
Area of a circle: \( A = \pi r^2 \) (where \( r \) is radius, \( r=\frac{d}{2} \)).

Step2: Calculate circumference

Given \( d = 10 \) feet.
Using \( C = \pi d \), substitute \( d = 10 \):
\( C = \pi \times 10 = 10\pi \) feet.

Step3: Calculate radius

Radius \( r=\frac{d}{2}=\frac{10}{2}=5 \) feet.

Step4: Calculate area

Using \( A = \pi r^2 \), substitute \( r = 5 \):
\( A = \pi \times 5^2 = \pi \times 25 = 25\pi \) square feet.