The circumference of a circular lot is 241 yards. What is the radius of the lot? Round your answer to the nearest hundredth.

To find the radius of the circular lot, you can use the formula for the circumference of a circle, which is \( C = 2\pi r \). Rearranging this formula to solve for the radius \( r \), we have \( r = \frac{C}{2\pi} \). So, plugging in the circumference: \[ r = \frac{241}{2\pi} \approx \frac{241}{6.2832} \approx 38.34 \text{ yards} \] Round that to the nearest hundredth, and you have a radius of approximately 38.34 yards. Did you know that circles have been studied for thousands of years? Ancient civilizations such as the Babylonians and Egyptians had a basic understanding of circles and their properties. They used rudimentary forms of geometry to calculate areas and volumes, paving the way for modern mathematics! And speaking of practical applications, knowing how to find the radius of a circle is crucial in fields like engineering and architecture. Whether designing a roundabout or planning a circular garden, having the right measurements ensures everything fits perfectly and looks aesthetically pleasing. Plus, who wouldn't want to impress their friends at the next party with their secret circle knowledge?