Question

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

Answer 1

• 216/7 in²

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