📝 Numerical Approximations Of Area

Q1. What is the method of exhaustion, as used by Archimedes, primarily designed to do?

💡 Difficulty: easy | ✅ Correct: B

Q2. Using the formula \(A(n) = \frac{n}{2} \sin\left( \frac{2\pi}{n} \right)\) for a unit circle, what is \(A(6)\)?

💡 Difficulty: medium | ✅ Correct: D

Q3. Deriving the error term for \(A(n)\) using the Taylor series of \(\sin\), which expression correctly describes the leading error order?

💡 Difficulty: hard | ✅ Correct: B