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

Answer:

A = 12.554 square inches

Step-by-step 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 $\frac{12.56}{2\pi } = r$

A = $\pi (\frac{12.56}{2\pi })^{2}$

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