state two important mathematical contributions of Archimedes contributo related to measurements of the circle.

Archimedes was a famous ancient Greek mathematician, physicist, engineer, and inventor who lived in a Greek colony between 287 and 212 BCE. He is regarded as one of antiquity's best mathematicians and scientists. Archimedes made important contributions to geometry, calculus, mechanics, and engineering, among others. He is well-known for his discoveries and inventions, including the laws of buoyancy, the lever, and his pioneering efforts in circle measurement. Archimedes' work established several scientific and mathematical principles that are still used in modern science and mathematics. This exploration delves into two of his key mathematical achievements regarding circle measurements.