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arcs, sections, and chords of circles

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Hello:

Please see attached file!

We are given Circle A ---- it has a radius of 6 inches; within Circle A is a right triangle which is defined by ABC; AB = 6.14 inches; AC = 6 inches; BC = 1.28 inches; angle A = 12.26 degrees; angle B = 77.74 degrees.

We are asked to solve for a circle arc that intersects points A & C of the right triangle in blue but yet this same arc is also part of a larger circle (Circle B) whose radius is 6.97 inches but the central angle is unknown?

The arc AC must be solved as well as the central angle of Circle B defined by DAC?

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