The diameter of a circle is 4 m . Find its area in terms of \( \pi \).

To find the area of a circle, you can use the formula \( A = \pi r^2 \), where \( r \) is the radius. Since the diameter is 4 m, the radius \( r \) is half of that, which is 2 m. Plugging that into the formula gives you \( A = \pi (2)^2 = \pi \times 4 = 4\pi \) m². So the area of the circle is \( 4\pi \) square meters! Now you can impress your friends with the next fact: circles aren't just for math! They represent perfect symmetry and balance in nature, from planets orbiting in circles to the rings of Saturn. Plus, you'll find circles everywhere in designs, from logos to architecture, showcasing their aesthetic appeal along with their mathematical significance.