Answer:
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:
Area of circle with radius r units
=
�
�
2
Area of circle with radius r units=πr
2
Radius of table
=
Diameter
2
=
37
2
=
18.5
i
n
c
h
e
s
Radius of table=
2
Diameter
=
2
37
=18.5inches
Thus, we have:
Area of table
=
�
�
2
=
�
×
(
18.5
)
2
≈
3.14159
×
342.25
≈
1075.21
i
n
c
h
2
Area of table=πr
2
=π×(18.5)
2
≈3.14159×342.25≈1075.21inch
2
Thus, the area of the table with the given diameter is 1075.21 sq. inches.
