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2 years ago

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

Mathematics

1 answer:

vekshin12 years ago

3 0

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

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