Question

While running for class president, Amanda handed out a campaign button. The catalog from which the button was ordered states that it has a circumference of 12.56 inches. What is the button's area?

Answer 1

A = 12.554 square inches

Explanation:

Let's start with the formulas:

Circumference =
`2\pi r`; Area =
`\pi r^(2)`

We can use the circumference to find the radius, r, which we need for the area

12.56 =
`2\pi r`

Isolating r gives us
`(12.56)/(2\pi ) = r`

A =
`\pi ((12.56)/(2\pi ))^(2)`

Solving gives us 12.554, which you can further round if necessary.