Respuesta :
We can use the formula of area of circle to find the area of table.
The area of the table with the given diameter is 1075.21 sq. inches.
Given that:
- The table is circular.
- The diameter of the table is of 37 inches
To find:
Area of the table.
Diameter versus radius:
Diameter is twice the radius.
Diameter is the biggest straight line segment that can fit inside given circle.
Radius is shortest distance from center of circle to its circumference.
Formula for area of circle:
[tex]\text{Area of circle with radius r units} = \pi r^2[/tex]
[tex]\text{Radius of table} = \dfrac{\text{Diameter}}{2} = \dfrac{37}{2} = 18.5 \: \rm inches[/tex]
Thus, we have:
[tex]\text{Area of table} = \pi r^2 = \pi \times (18.5)^2 \approx 3.14159 \times 342.25 \approx 1075.21 \: \rm inch^2[/tex]
Thus, the area of the table with the given diameter is 1075.21 sq. inches.
Learn more about area of circle here:
https://brainly.com/question/88128