Finding the Area of a Circle - PowerPoint PPT Presentation

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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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Finding the Area of a Circle

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Finding the Area of a Circle

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?

r

?

The other is . . .

r

?

Half the circumference

Remember the formula for the circumference . . .

r

?

So, half the circumference is . . .

r

?

So, we have . . .

r

But this shape is almost a rectangle . . .

r

So can you approximate its area?

The area is approximately

r

Now, think . . .

r

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

r

It would become even more like a rectangle . . .

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

So the area of a circle is . . .