The circumference of a circular painting is 6.28 feet. What is the radius of the painting? Use 3.14 for \( \pi \) and do not round your answer.

To find the radius of the painting, we can use the formula for the circumference of a circle, which is \( C = 2\pi r \). Given that the circumference \( C \) is 6.28 feet, we can set up the equation: \[ 6.28 = 2 \times 3.14 \times r. \] Now, solving for \( r \): \[ r = \frac{6.28}{2 \times 3.14} = \frac{6.28}{6.28} = 1. \] So, the radius of the painting is 1 foot. Calculating the radius of a circle is not just useful for math problems! In real life, artists use diameters and radii for various artistic features and frame sizes. Understanding these dimensions can help when you're picking the perfect frame or crafting circular designs, ensuring that everything is well proportioned and visually pleasing. If you ever find yourself estimating circle measurements, remember that \( \pi \) is irrational, which means it can’t be expressed as an exact fraction. It can be easy to miscalculate if you use an approximation. To avoid mistakes, keep the value of pi consistent throughout your calculations to get more accurate results—like sticking to \( 3.14 \) or using more decimal places when precision matters!