Sunday, August 16, 2009

Can I say "annulus"?

Draw two concentric circles with different radii. Draw a chord
in the larger circle that is also a tangent to the smaller circle.
If the chord length is d, what is the area of the annulus (the
washer shape) between the two circles?

To enable consistent communication, use O for the centre of
the circle, T for the point at which the tangent touches the
inner circle, A and B for the ends of the chord and R and r for
the larger and smaller radii respectively.

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3 Comments:

Blogger Ragknot said...

The area of the washer is pi/4*d^2 is the tangent chord is d.

August 16, 2009 7:52 PM  
Blogger Ragknot said...

Try again...

The area of the washer is pi/4*d^2 IF the tangent chord is d.

August 16, 2009 7:53 PM  
Blogger Chris said...

Rats! That was too easy. I had a feeling that you or tha b....h wold get it.

I stumbled across that one when checking out Einstein's Sphere.

August 17, 2009 3:22 AM  

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