Question

Eleanor is sewing a tablecloth for her circular kitchen table . The length from one edge of the table to the other 3ft. What is the minimum amount of fabric that Eleanor needs to purchase?

Answer 1

`7.07ft^(2)` or
`2.25\pi`

Explanation:

To find the minimum amount of fabric, one needs to find the area of the table, the equation for the area of a circle is
`A=\pi r^(2)`

The question gives the length from one edge of the table to the other, this can also be defined as the diameter, the diameter is equal to double the raidus so dividing the diameter in half gives the radius. The radius of this table is calculated to be 1.5 ft.

Plugging in our radius to the area equation we get
`A=\pi 1.5^(2)= 7.07ft^(2)` or
`2.25\pi`