Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
To solve the problem of finding the circumference and area of a circular flower bed with a diameter of 14 feet, we need to use the formulas for the circumference and the area of a circle.
### Step-by-Step Solution:
1. Diameter and Radius:
The diameter of the flower bed is given as 14 feet. The radius (\( r \)) of the circle is half of the diameter.
[tex]\[ r = \frac{d}{2} = \frac{14}{2} = 7 \text{ feet} \][/tex]
2. Circumference:
The formula for the circumference (\( C \)) of a circle is:
[tex]\[ C = 2\pi r \][/tex]
Substituting the radius:
[tex]\[ C = 2\pi \times 7 = 14\pi \text{ feet} \][/tex]
3. Area:
The formula for the area (\( A \)) of a circle is:
[tex]\[ A = \pi r^2 \][/tex]
Substituting the radius:
[tex]\[ A = \pi \times 7^2 = \pi \times 49 = 49\pi \text{ square feet} \][/tex]
In conclusion:
The circumference of the circular flower bed is \( 14\pi \) feet, and the area is \( 49\pi \) square feet.
So, the correct answer is:
Circumference \( = 14\pi \) feet, area \( = 49\pi \) square feet.
Examining the provided options, the correct one is:
- circumference [tex]\( = 14\pi \)[/tex] feet, area [tex]\( = 49\pi \)[/tex] square feet.
### Step-by-Step Solution:
1. Diameter and Radius:
The diameter of the flower bed is given as 14 feet. The radius (\( r \)) of the circle is half of the diameter.
[tex]\[ r = \frac{d}{2} = \frac{14}{2} = 7 \text{ feet} \][/tex]
2. Circumference:
The formula for the circumference (\( C \)) of a circle is:
[tex]\[ C = 2\pi r \][/tex]
Substituting the radius:
[tex]\[ C = 2\pi \times 7 = 14\pi \text{ feet} \][/tex]
3. Area:
The formula for the area (\( A \)) of a circle is:
[tex]\[ A = \pi r^2 \][/tex]
Substituting the radius:
[tex]\[ A = \pi \times 7^2 = \pi \times 49 = 49\pi \text{ square feet} \][/tex]
In conclusion:
The circumference of the circular flower bed is \( 14\pi \) feet, and the area is \( 49\pi \) square feet.
So, the correct answer is:
Circumference \( = 14\pi \) feet, area \( = 49\pi \) square feet.
Examining the provided options, the correct one is:
- circumference [tex]\( = 14\pi \)[/tex] feet, area [tex]\( = 49\pi \)[/tex] square feet.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.