If you happen to be viewing the article Joanna bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be covered by rugs? ? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.
Joanna bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be covered by rugs?
To find the area of the floor covered by the rugs, we need to calculate the total area of the three circular rugs and then subtract it from the total area of Joanna’s bedroom floor.
Article continues below advertisement
The formula for the area of a circle is: A = πr^2, where r is the radius.
Given that each rug has a radius of 4 ft, the area of one rug is:
A_rug = π × 4^2 square feet.
A_rug = π × 16 square feet.
A_rug = 16π square feet.
Since Joanna bought three identical rugs, the total area covered by the rugs is:
A_total = 3 × 16π square feet.
A_total = 48π square feet.
Now, if we know the dimensions of Joanna’s bedroom floor, we can subtract the total area covered by the rugs from the total area of her bedroom floor to find the remaining area. If the dimensions of her bedroom floor are not provided, we can only express the area covered by the rugs as 48π square feet.
Area and Circumference of a Circle
The area A and circumference C of a circle are calculated using the radius r or the diameter d of the circle.
-
Area (A):
- Formula: A = π * r^2 or A = π * (d^2) / 4
-
Circumference (C):
- Formula: C = 2 * π * r or C = π * d
In these formulas:
- A represents the area of the circle.
- C represents the circumference of the circle.
- r represents the radius of the circle.
- d represents the diameter of the circle.
- π (pi) is a constant approximately equal to 3.14159.
Here, π (pi) is a constant approximately equal to 3.14159.
Thank you so much for taking the time to read the article titled Joanna bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be covered by rugs? written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!
Source: Math Hello Kitty
Categories: Math
