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2026 AMC 10A Problem 6

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2026 AMC 10A Problem 6AMC 10 Step by Step

Name: Date: November 10, 2026

Circles · difficulty 2 of 5 · about 3 min · position P1-10

A triangle with sides $16$ , $30$ , and $34$ is inscribed in a circle, dividing the interior of the circle into four regions. Let $A$ , $B$ , and $C$ be the areas of the non-triangular regions, with $C$ being the greatest. What is the value of $A+B$ ?

A) $\frac{289\pi}{2}-240$
B) $\frac{289\pi}{2}-210$
C) $289\pi-480$
D) $289\pi-360$
E) $289\pi- 240$

2026 AMC 10A Problem 6

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