High School

We appreciate your visit to Susie has a rectangular dining room with the dimensions below What is the area of the largest circular rug Susie can fit in her dining. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Susie has a rectangular dining room with the dimensions below. What is the area of the largest circular rug Susie can fit in her dining room?

Answer :

The largest circular rug Susie can fit in her dining room has an area of approximately 38.48 square feet.

To find the largest circular rug Susie can fit in her rectangular dining room, we need to determine the radius of the circle that maximizes its area while still fitting within the dimensions of the room.

Since the diameter of the circle cannot exceed the smallest dimension of the room (which is 7 ft), the radius of the circle cannot exceed 3.5 ft.

The area of a circle is given by the formula [tex]\(A = \pi r^2\)[/tex], where r is the radius.

Thus, the maximum area for the circular rug would be achieved with a radius of 3.5 ft.

[tex]\[ A = \pi \times (3.5)^2 \]\\\\A = \pi \times 12.25 \][/tex]

[tex]A \approx 38.48 \, \text{sq ft}[/tex]

Therefore, the largest circular rug Susie can fit in her dining room has an area of approximately 38.48 square feet.

The probable question may be:

Susie has a rectangular dining room with the dimensions 12ft and 7 ft below. what is the area of the largest circular rug susie can fit in her dining room?

Thanks for taking the time to read Susie has a rectangular dining room with the dimensions below What is the area of the largest circular rug Susie can fit in her dining. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada