Thursday, December 25, 2025

Area of a circle

Circle Area Explorer: The Rectangle Method

Circle to Rectangle Proof

Cut the circle into sectors and rearrange them to find the Area!



Drag the slider to cut the circle into smaller pieces.

The Math Logic:

1. We cut the circle into 8 wedges (sectors).

2. We arranged them into a shape that looks like a rectangle.

3. The Height of this rectangle is the Radius (r).

4. The Width is half of the circle's border (π × r).

Area = Width × Height = (πr) × (r) = πr²

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