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To solve the problem, we rely on the property of rearranging a circle into a rectangle:

Key Insight:

When a circle is cut into small sectors and rearranged into a rectangle, the area of the rectangle equals the area of the circle. This is because rearrangement preserves area—no parts are added or removed.

• The rectangle's length is half the circle's circumference: ( \pi r )
• The rectangle's width is the circle's radius: ( r )
• Area of the rectangle = length × width = ( \pi r \times r = \pi r^2 = \text{Area of the circle} )

Given:

Area of the rectangle = ( 28.26 \, \text{cm}^2 )

Conclusion:

The area of the circle equals the area of the rectangle.

Answer: ( 28.26 \, \text{cm}^2 )

(\boxed{28.26})

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