Your bedroom is in the shape of a square that is 12 feet long on each side. Will a circular rug with a circumference of 40.82 feet fit into your room? If not, by how many feet is the rug too wide?
C = pi * d
40.82 = 3.14 * d
13 = d
Do you think a rug with a diameter of 13 will fit in a room that is 12 feet long?
it is 465.7800
To determine if the circular rug with a circumference of 40.82 feet will fit into your square bedroom, we need to compare the diameter of the rug to the length of the square's sides.
The formula to calculate the diameter of a circle is:
diameter = circumference / π
Given that the circumference of the rug is 40.82 feet, we can calculate the diameter by dividing it by π (approximately 3.14):
diameter = 40.82 feet / 3.14 ≈ 13 feet (rounded to the nearest whole number)
Since the diameter of the rug is larger than the length of any side of the square bedroom (12 feet), the circular rug will not fit inside the room.
To determine by how many feet the rug is too wide, we subtract the length of the square bedroom from the diameter of the rug:
Too wide = diameter of the rug - length of the square bedroom
≈ 13 feet - 12 feet
= 1 foot
Therefore, the circular rug is 1 foot too wide to fit inside your square bedroom.
To determine whether the circular rug will fit into your square bedroom, we need to compare the circumference of the rug with the perimeter of the room.
First, let's calculate the perimeter of the square bedroom. Since all sides of the square measure 12 feet, the perimeter can be found by multiplying the length of one side by 4:
Perimeter of the room = 12 feet × 4 = 48 feet.
Now, let's compare the circumference of the rug (40.82 feet) with the perimeter of the room (48 feet).
If the circumference of the rug is less than or equal to the perimeter of the room, then the rug will fit. On the other hand, if the circumference of the rug is greater than the perimeter of the room, it won't fit.
Circumference of the rug = 40.82 feet.
Perimeter of the room = 48 feet.
Comparing the two, we find that the circumference of the rug (40.82 feet) is smaller than the perimeter of the room (48 feet). This means that the circular rug will fit into your bedroom.
To find out how much space is left between the rug and the walls, we subtract the circumference of the rug from the perimeter of the room:
Space left = Perimeter of the room - Circumference of the rug
Space left = 48 feet - 40.82 feet = 7.18 feet.
Therefore, the circular rug will fit into your bedroom, and there will be approximately 7.18 feet of space left between the rug and the walls.