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The circumference of a circular painting is 34.54 feet. What is the diameter of the painting? Use 3.14 for π and do not round your answer. feet

Respuesta :

Answer:

11 feet

Step-by-step explanation:

The circumference of a circle is the distance around the perimeter of a circle.

Formula

First, we need to remember the formula for finding the circumference in the first place.

The formula is:

  • C = 2[tex]\pi[/tex]r, where r is the radius.

However, in this case, we will use 3.14 instead of pi as the question said. To find the diameter, we can plug in the circumference and solve for r.

Solving for r

Now, let's plug 34.54 in for C

  • 34.54 = 2[tex]\pi[/tex]r

Next, multiply out 2 and [tex]\pi[/tex] (3.14)

  • 34.54 = 6.28r

Finally, divide both sides by 6.28

  • 5.5 = r

However, this is not the final answer. R is the radius and the question asks for the diameter. The radius is half of the diameter, so the diameter is equal to r *2.

  • 5.5 * 2 = 11

This means that the diameter is 11.

Another way to solve this was to only divide by 3.14, not 2. This will solve for 2r, aka the diameter. If you don't understand how this works, then it's fine to do it the way above.