Question

match each circular flower bed on the left to its circumference and its area on the right. some answer options on the right will not be used. flower bed a: diameter = 10 ft. flower bed b: radius = 6 ft. answer options (circumference, area): circumference = 5π feet, area = 25π square feet; circumference = 6π feet, area = 36π square feet; circumference = 10π feet, area = 25π square feet; circumference = 10π feet, area = 100π square feet; circumference = 12π feet, area = 36π square feet; circumference = 12π feet, area = 144π square feet. instruction: click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. the target will highlight or the cursor will change. need help? watch this video.

Explanation:

for Flower Bed A (Diameter = 10 ft):

Step1: Find the radius

The radius \( r \) is half of the diameter. So \( r=\frac{10}{2} = 5 \) ft.

Step2: Calculate the circumference

The formula for the circumference of a circle is \( C = 2\pi r \) (or \( C=\pi d \), where \( d \) is the diameter). Using \( C = \pi d \), we substitute \( d = 10 \) ft. So \( C=10\pi \) feet.

Step3: Calculate the area

The formula for the area of a circle is \( A=\pi r^{2} \). Substitute \( r = 5 \) ft. Then \( A=\pi(5)^{2}=25\pi \) square feet.

for Flower Bed B (Radius = 6 ft):

Step1: Calculate the circumference

Using the formula \( C = 2\pi r \), substitute \( r = 6 \) ft. So \( C = 2\pi\times6=12\pi \) feet.

Step2: Calculate the area

Using the formula \( A=\pi r^{2} \), substitute \( r = 6 \) ft. Then \( A=\pi(6)^{2}=36\pi \) square feet.

Answer:

• Flower Bed A (diameter = 10 ft) matches with "circumference = \( 10\pi \) feet, area = \( 25\pi \) square feet".
• Flower Bed B (radius = 6 ft) matches with "circumference = \( 12\pi \) feet, area = \( 36\pi \) square feet".