Question

What is the area of a square inscribed in a circle with radius 1 meter? image included

Answer 1

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

Answer 2

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.