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AMC 10A 2026 (Problem 6)

A triangle with sides 1616, 3030, and 3434 is inscribed in a circle, dividing the interior of the circle into four regions. Let AA, BB, and CC be the areas of the non-triangular regions, with CC being the greatest. What is the value of A+BA+B?
(A)  289π2−240\text{(A)}\;\frac{289\pi}{2}-240(B)  289π2−210\text{(B)}\;\frac{289\pi}{2}-210(C)  289π−480\text{(C)}\;289\pi-480(D)  289π−360\text{(D)}\;289\pi-360(E)  289π−240\text{(E)}\;289\pi-240