A friend of mine is trying to machine apart.

We have a circle of known diameter. Picture a this circle inside of a 60 degree angle. We need to know how far the tangents are from the corner of the angle.

How would we set this up.

Thanks

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- Apr 21st 2010, 03:39 AMjonbknown circle inside of a 60 degree angle?
A friend of mine is trying to machine apart.

We have a circle of known diameter. Picture a this circle inside of a 60 degree angle. We need to know how far the tangents are from the corner of the angle.

How would we set this up.

Thanks - Apr 21st 2010, 04:04 AMjonb
Lets say the circle is one inch. There is a 60 degree angle. How far away is the corner of the angle from either of the tangents where the circle is contacting both side of the 60 degree angle.

- Apr 21st 2010, 05:54 AMsa-ri-ga-ma
- Apr 21st 2010, 07:05 AMSoroban
Hello, jonb!

sa-ri-ga-ma has the best approach!

Quote:

We have a circle of known diameter.

Picture this circle inside of a 60° angle.

We need to know how far the tangents are from the corner of the angle.

How would we set this up?

Code:`/`

/ * * *

/* *

* *

* *

/

/* O *

/ * * *

/ * * | *

/ * |

/ * |r *

/ * * | *

/ * 30° * | *

* - - - - - - - * * *

A B

$\displaystyle \Delta OBA$ is a 30-60-90 right triangle.

We have: .$\displaystyle \angle OAB = 30^o,\;OB = r$

You can now find $\displaystyle AB.$