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Answer:

area of square: 2 m²

Explanation:

using Pythagoras theorem, find the side length of the square:

→ a² + b² = c²

→ 1² + 1² = c²

→ c = √2

→ length of one side of square is √2 m

Using square area formula:

→ length²

→ ( √2 )²

→ 2 m²

Solution:

Note that:

  • Diagonal of square = Diameter of circle
  • Diameter of circle = 2 meters
  • Diagonal of square = 2 meters

Use Pythagoras theorem to find the side of the square.

  • 2² = x² + x²
  • => 4 = 2x²
  • => 2 = x²
  • => x = √2

Now, the area should be x².

  • Area of square = (√2)²
  • => Area of square = 2 m²

The area of the square is 2 m².

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