Question

Jorge needs to paint the circular tops of five identical tables. Each table has a circumference of about 12.6 feet. He has a 1-pint can of paint, which will cover about 70 square feet of surface area.

Answer 1

Given data

*The given circumference of each table is C = 12.6 feet

*The surface area is a = 70 sq. feet

*The number of identical tables is n = 5

The expression for the circumference of the circle is given as

`C=2\pi r`

Substitute the values in the above expression as

`\begin{gathered} 12.6=2*3.14* r \\ r=2.00\text{ } \end{gathered}`

The expression for the area of the circle

`A=n*\pi r^2`

Substitute the values in the above expression as

`\begin{gathered} A=5*(3.14*2.0*2.0) \\ =62.8\text{ sq. f}eet \end{gathered}`

Comparing the total area with the given area as we get he will able to paint all the tables as the total area of the table is less than the area.