During a senate campaign, a volunteer passed out a "Vote for Bryant" button. According to the catalog from which the button was ordered, it has a circumference of 9.42 inches. What is the button's radius?

To find the radius of the button, we first need to understand the relationship between the circumference and the radius of a circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

Given that the circumference (C) is 9.42 inches, we can rearrange the formula to solve for the radius (r):

r = C / (2π)

Substituting the given circumference into the formula gives:

r = 9.42 / (2π)

Using the approximation of 3.14 for π, the calculation becomes:

r = 9.42 / (2 * 3.14)

This simplifies to:

r = 9.42 / 6.28

Finally, calculating the division gives the radius of the button:

r ≈ 1.5 inches.