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The area of the segment is 28.54 m².

What is the area of a right-angle triangle?

The area of a right-angle triangle is = 1/2 × base × height.

The area of ABC = π × r² × (m°/360°) m² = π × (10)² × (90°/360°) m² = 25π m² = 78.54 m²

ΔABC = 1/2 × AB × BC = 1/2 × 10 × 10 m² = 50 m².

The area of the red part = Area of ABC - ΔABC = (78.54 - 50) m² = 28.54 m².

Learn more about the area of a triangle here: https://brainly.com/question/22625791

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