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Question

ABC is the equilateral triangle inscribed in a circle of radius 4 cm with center O. Find the area of shaded region
1010015_69c8758ba36b421db798c0cc3accdd66.png

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Solution

We have, R=4cm
AB=BC=CA=R 3 =4 3 cm .............[R=23handh=32aR=a3]

AOC=ABC=2×60=120

Required area = 13 (Area of the circle - Area of Δ ABC)

Required area = 13[πR234×(sides)2]

Required area = 13[16π34×(43)2]

Required area = 13(16π123)cm2=43(4π33)cm2

1029891_1010015_ans_2d00f987d0dd4017ab54f994854473fd.png

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