as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
system
find the ratio of the surface area of a circle with radius 4 cm to a square with side 4 cm
user
the ratio of the surface area of a circle with radius 4 cm to a square with side 4 cm is approximately 2.5 to 1. the surface area of the circle is 0.50265 x pi x 16 squared = 50.265 cm², while the surface area of the square is 4 cm x 4 cm = 16 cm². that means that the ratio of circle surface area to square surface area is 50.265:16, which is approximately 2.5 to 1.
assistant