Jill's front door is 42" wide and 84" tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?
Find the length of the diagonal in the doorway.
a^2 + b^2 = c^2
42^2 + 84^2 = c^2
1764 + 7056 = c^2
8820 = c^2
93.9 = c
The table will not fit.
You need to figure the diagonal opening by using the Pythagorean theorem.
To determine whether the circular table will fit through Jill's front door, we need to compare the width of the front door with the table's diameter.
Given:
- Front door width: 42"
- Front door height: 84"
- Table diameter: 96"
Step 1: Calculate the circumference of the circular table:
Circumference = π * Diameter
Circumference = 3.14 * 96 inches
Circumference ≈ 301.44 inches
Step 2: Compare the front door width and the circumference of the table:
Since the front door width is 42 inches and the table's circumference is 301.44 inches, we can conclude that the circular table will not fit through Jill's front door.
To determine whether the table will fit through the front door, we need to compare the dimensions of the table to the dimensions of the door.
The front door has a width of 42 inches and a height of 84 inches.
The table is circular and has a diameter of 96 inches.
To fit the table through the door, we need to make sure that the width of the table (which is equal to the diameter as it's a circle) is smaller than or equal to the width of the door. In this case, the table's width is 96 inches, which is larger than the door's width of 42 inches.
Since the table's width is larger than the door's width, the table will not fit through the front door.