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In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centrs at S and Q.

The probability that any point picked randomly within the square falls in the shaded area is ________
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the figure shown above, PQRS is a square. The shaded portion is for...
Concept:

Total Area = Area of square = (side)2
Shaded area = 2 ×  [Area of sector - (Area of half square or Area of triangle)]
Area of sector = 
Area of half square or Area of triangle =
Calculation:
Given,
Side of square = r
Radius of sector = r
Total Area = Area of square = (side)2 = r2
Shaded area = 2 ×  [Area of sector - (Area of half-square or Area of triangle)] = 
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In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centrs at S and Q.The probability that any point picked randomly within the square falls in the shaded area is ________a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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