Solve for \( r \): \( r = \frac{31.4}{2\pi} = 5 \, \text{meters} \)

Sat, 02 May 2026 03:56:13 +0000

# Solve for \( r \): \( r = rac{31.4}{2\pi} = 5 \, \ ext{meters} \) ÃƒÂ¢Ã‚Â€Ã‚Â“ Simplifying a Key Formula Understanding circular geometry is essential in science, engineering, and everyday measurements. One frequently encountered equation involves calculating the radius \( r \) of a circle when the circumference \( C \) is known. In this article, we explore how \( r = rac{31.4}{2\pi} = 5 \, \ ext{meters} \) is derived and why this formula matters in real-world applications. ## The Basic Formula for Circumference The formula for the circumference \( C \) of a circle is given by:
\[ C = 2\pi r \]
where:
- \( C \) is the circumference,
- \( \pi \) (pi) is a mathematical constant approximately equal to 3.14,
- \( r \) is the radius, the distance from the center of the circle to its outer edge.