Shaded segment of a circle cut off by a chord

An example figure from the Circle Generator.

A circle with center O and a chord AB; the segment below the chord is shaded, dashed radii OA and OB meet at O at 140°, and OA is labeled 6 cm
A circle with its center O and a chord AB across its lower part, with the segment between the chord and the circle shaded blue. Dashed radii run from O to A and B, OA labeled 6 cm, and the central angle between them is marked and labeled 140°, for finding the area of the segment.

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Answer key

  • Shaded AB: 140°, arc 4.7π cm ≈ 14.7 cm, area 14π − 11.6 cm² ≈ 32.4 cm²

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