Area of an annulus
The number of square units it takes to completely fill an
Try this Drag the orange dots to move and resize the circles. As the size of the circles
change, the area is recalculated.
The area of the
is the area of the ring-shaped space between the two circles that define it.
In the figure above it is the number of gray square units it takes to fill the annulus.
This area is the area of the entire disk, minus the area of the 'hole' in the middle. ( See Area of a Circle):
||is the radius of the outer circle
||is the radius of the inner 'hole'
||is Pi, approximately 3.142
This simplifies a little to:
When you done click "show details" to see how close you got.
- In the figure above, click on "hide details"
- Drag the orange dots on the edge of the circles to make a random-size annulus.
- Now try to estimate the area of the annulus just by looking at the squares inside it
- Calculate the area using the formula
Other circle topics
Equations of a circle
Angles in a circle
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