In a circle with center O and radius 6, points A and B are on the circumference such that the length of arc AB is π. What is the area of sector OAB?

✓ Correct Answer: Option A

The arc length L = rθ. Given L = π and r = 6, we find the central angle θ = π/6 radians. The area of a sector A = (1/2)r²θ. So, A = (1/2)(6²)(π/6) = (1/2)(36)(π/6) = 3π.