The diameter of a circle is 14 m . Find its area to the nearest tenth.

To find the area of a circle, you can use the formula A = πr², where A is the area and r is the radius. Since the diameter is 14 m, the radius is half of that, which is 7 m. Plugging in the values, A = π(7)² ≈ 3.14 × 49 ≈ 153.9 m². So, the area of the circle is approximately 153.9 square meters when rounded to the nearest tenth. Now, let’s talk about circles! Did you know that the ancient Greeks were the first to extensively study the properties of circles? Mathematicians like Archimedes made amazing contributions, such as the approximation of π, which was incredibly advanced for its time. They used circles not just for geometry but also in astronomy and engineering, showing just how integral circles are to so many fields of knowledge! In real-life situations, circles and their properties show up everywhere, from designing wheels and gears to calculating land areas for agriculture! For instance, if you’re planting a circular garden with a radius of 7 m, knowing the area helps you figure out how much soil, seeds, or fertilizer you need. This makes understanding circles super practical, whether you're digging in your backyard or planning a roller coaster track!