Isaac is also designing a circular serving tray that he plans to engrave around the edge. The serving tray has an area of 3.14 square feet. Using 3.14 for , what is the circumference of the serving tray rounded to the nearest hundredth?

Respuesta :

Answer:

6.28 feet

Step-by-step explanation:

1.) Find the radius.

The area is given, and the formula for area of a circle is A = [tex]\pi r^{2}[/tex]  Let's substitute.

3.14 = [tex]\pi r^{2}[/tex]

Divide by pi on both sides

1 = [tex]r^{2}[/tex]

Find the square root of r

1 = r

The radius is 1.

2.) Find the circumference.

C = [tex]2\pi r[/tex]

C = [tex]2\pi (1)[/tex]

Multiply 2 and 1

C = [tex]2\pi[/tex]

C ≈ 6.28

The circumference is approximately 6.28 feet.