The radius of a circle is 9 inches. Find the area of the circle. Use \( A=\pi r^{2} \). What is the radius of the circle? Write your answer 2 ways. Area in terms of \( \pi \). \( 81 \pi \) Area rounded to the hundredth. 254.46 \( \mathrm{in}^{2} \)

Did you know that circles have been studied for thousands of years? The ancient Egyptians and Babylonians had a basic understanding of circles and their properties, using them in architecture and astronomy. In fact, the value of \(\pi\), which is essential for calculating the area of a circle, has been approximated in various cultures long before its numerical form was established! In real-world applications, the area of a circle comes in handy more often than you might think! For instance, if you're planning a circular garden, knowing the area can help you figure out how much soil and mulch you'll need. Similarly, engineers use circle area calculations in designing wheels, pipes, and various circular components in machinery.