Question

each picture shows two squares and a circle.
a. explain why the area of this circle is more than 2 square units but less than 4 square units.

Explanation:

Step1: Analyze the inner square

The inner square is composed of 2 small squares. The area of the inner square is \(2\) square units. The circle covers the inner square and has some extra area beyond it, so the area of the circle is more than \(2\) square units.

Step2: Analyze the outer square

The outer square has an area of \(4\) square units. The circle is entirely inside the outer square, so the area of the circle is less than \(4\) square units.

Answer:

The area of the circle is more than \(2\) square units (because it covers the inner square of area \(2\) and has extra) and less than \(4\) square units (as it is inside the outer square of area \(4\)).