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ABC is an equilateral triangle inscribed …

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ABC is an equilateral triangle inscribed in a circle of radius 4cm.Find the area of the shaded portion

    • Posted by Priyanshu Jha 1 year, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Manash Mishra 1 year, 11 months ago

    we have,R=4cm AB=BC=CA=R√3=4√3cm [R=2/3h and h =√3/2a , R=a√3] ∠AOC=∠BC=2×60°=120° ∴Required area=1/3(Area of the circle×area of ∆ABC ) Required area = 1/3 [ πR²-√3/2×(sides) Required area =1/2[16π-√3/2×(4√3)² Required area=1/3(16π-12√3)cm² 4/3(4π-3√3cm²

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