The radius of a circle is 9 m . Find its area in terms of \( \pi \).

The area of a circle can be calculated using the formula \( A = \pi r^2 \), where \( r \) is the radius. Plugging in your radius of 9 m, we get \( A = \pi \times (9)^2 = \pi \times 81 = 81\pi \) square meters. So, the area of your circle is \( 81\pi \, \text{m}^2 \). Fun fact: The constant \( \pi \) isn't just a number; it's a mathematical marvel! This ratio of a circle's circumference to its diameter shows up in various aspects of nature—from the way rivers meander to the shapes of galaxies. Next time you spot a circle, think of the cosmic scale of \( \pi \)! Circles are everywhere in our daily lives, from the wheels on our cars to the full moon in the night sky. Their properties are not only intriguing mathematically but also practically useful in fields such as engineering, architecture, and design. Knowing how to calculate the area can help you decide everything from how much carpet you need to cover a circular room to how many toppings can fit on your round pizza!