What formula is used to calculate the area of a circle?

πr²

The formula for the area of a circle, πr², where "r" is the radius of the circle, perfectly illustrates the elegance of mathematics. The number π, known for its infinite and non-repeating nature, has fascinated mathematicians throughout history, from antiquity to the modern era. This simple yet essential formula is crucial in many practical fields, from architectural design to theoretical physics. Its discovery marked a significant moment in the history of mathematics, highlighting the interaction between measurement and geometric shape.