Finding the Area of a Circle
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Finding the Area of a Circle . Take a circle . . . Divide it up into sectors. Colour the top semicircle green & the lower semicircle yellow. Pull the sectors apart. Arrange the green sectors in one line & the yellow sectors in another line. The sectors fit together like teeth . . .

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Colour the top semicircle green the lower semicircle yellow
Colour the top semicircle green & the lower semicircle yellow



Arrange the green sectors in one line the yellow sectors in another line
Arrange the green sectors in one line& the yellow sectors in another line







The vertical one is easy
The “vertical” one is easy . . .

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It’s the radius!


The other is
The other is . . .

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Half the circumference





But this shape is almost a rectangle . . .

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So can you approximate its area?



Now, think . . .

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What would happen if you cut the circle into smaller and smaller sectors?


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It would become even more like a rectangle . . .

So this approximation for the area of the circle would be even more accurate . . .



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