ABC is an equilateral triangle inscribed in a circle of radius 4cm. Determine the shaded region.
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Answer:
16π/3 - 4√3 cm²
Step-by-step explanation:
height of triangle = AB×sin 60 = 4×√3/2 = 2 √3 cm
Area triangle ABC = 1/2 × 4 ×2√3 = 4 √3 cm²
Area of circle = π r² = π (4/√3)² = 16π /3 cm² as radius of circumference of circle = AB / √3
Area of the Shaded area = 16π/3 - 4√3 cm²
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