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Paramhansh Trivedi
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Asked: 2023-02-22T05:33:00+00:00 In:

In this Figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

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In this Figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

Can you provide me the explanation video for this above question which is from NCERT Class 10 Chapter 12.
Page No. 236
Exercise 12.3
Question No. 7

chapter 12class 10ncert
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    1. Best Answer
      In this Figure, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

      The circles drawn taking A, B, C and D form quadrants of radius 7 cm in square.
      Radius of each quadrant = 7 cm
      Area of each quadrant
      = 90°/360° × πr² = 1/4 × π(7)²
      = 1/4 × 22/7 × 7 × 7 = 77/2 cm²
      Area of square = (Side)² = (14)² = 196 cm²
      Area of shaded region = Area of square – Area of 4 quadrants
      = 196 – 4 × 77/2 = 196- 154 = 42 cm²

      Here is the Video explanation 😀👇

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