Let
r------> the radius of the circular tabletop
we know that


so

The area of a circle is equal to

where
r is the radius of the circle
<u>Part a)</u> What is the smallest possible area of the tabletop that will fit on Timothy’s table base?
we know that
the smallest possible area of the tabletop is for 
Substitute the value of r in the formula


Round to the nearest whole square inch
so

therefore
<u>the answer part a) is </u>
the smallest possible area of the tabletop is 
<u>Part b)</u> What is the largest possible area of the tabletop that will fit on Timothy’s table base?
we know that
the largest possible area of the tabletop is for 
Substitute the value of r in the formula


Round to the nearest whole square inch
so

therefore
<u>the answer part b) is </u>
the largest possible area of the tabletop is 