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Anwesha Patel
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Asked: 2023-02-21T11:06:19+00:00 In:

Find the area of the shaded region in Figure.

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Find the area of the shaded region in Figure.

Where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.
NCERT Class 10 Math’s Chapter 12
Page No. 235
Exercise 12.3
Question No. 4

chapter 12class 10ncert maths
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    1. Best Answer
      Find the area of the shaded region in Figure.

      We know that each angle of equilateral triangle is 60°.
      Area of sector OCDE
      = 60°/360° × πr² = 1/6 × π(6)² = 1/6 × 22/7 × 6 × 6 = 132/7 cm²
      Area of equilateral triangle OAB
      = √3/4 (12)² = 36√3 cm²
      Area of circle
      = πr² = π(6)² = 22/7 × 6 × 6 = 792/7 cm²
      Area of shaded region
      = Area of circle + Area of triangle OAB- Area of sector OCDE
      = (792/7 + 36√3 – 132/7) cm²
      = (36√3 + 660/7) cm²

      Here is the video explanation 😃🙌

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