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

To find the area of a circle, you can use the formula \( A = \pi r^2 \), where \( r \) is the radius. The radius is half of the diameter, so in this case, \( r = \frac{14}{2} = 7 \) m. Plugging that into the formula gives: \( A = \pi (7^2) \approx 154 \) m² (using \( \pi \approx 3.14 \)). Rounding to the nearest whole number, the area is approximately 154 m². Notably, circles have been a central theme in geometry dating back to ancient civilizations. The Greeks, particularly with mathematicians like Euclid, explored many properties of circles, and the relationship between the diameter and the circumference helped lay foundational concepts in geometry that still apply today. In real-world applications, understanding the area of a circle has plenty of uses! From determining the amount of grass seed needed to cover a circular garden to calculating the space for circular tables at an event, knowing how to find the area quickly can save time and resources while ensuring accuracy in planning and materials.