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12. Determine the area of the shaded region. 12 in 12 in​

12 Determine The Area Of The Shaded Region 12 In 12 In class=

Answer :

Answer:

  • 216/7 in²

Step-by-step explanation:

We know that:

  • Area of shaded region = Area of square - Area of circles
  • Radius of circle = 3 in
  • Area of circle = πr²
  • Area of square = s²

Solution:

  • Area of shaded region = Area of square - Area of circles
  • => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
  • => Area of shaded region = (144) - 4(22/7 x 9)
  • => Area of shaded region = (144) - 4(198/7)
  • => Area of shaded region = 144 - 792/7
  • => Area of shaded region = 144 x 7/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 216/7 in²

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