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BvU said:View attachment 75074
This help ? I see a way to calculate distance top left to center cicle, and then top left to tangent point.
And then there are isomorphic triangles to be found that can help us further...
Can you give me hints on how can I relate the length of the tangent line to the chord? Pleaseee. Thank you :)BvU said:value being length, equation, whatever: yes, I should think so. Didn't work it all out in detail: your job. Finding a possible smarter way is also your job/challenge :)
BvU said:View attachment 75076
Draw AD, calculate |AD|, calculate |AB| .
Look at isomorphic triangles ACE and DCE
then DCE and BCF
Looks like a lot of work. You do some too.
BvU said:Look at isomorphic triangles ACE and DCE
BvU said:View attachment 75074
This help ? I see a way to calculate distance top left to center cicle, and then top left to tangent point.
And then there are isomorphic triangles to be found that can help us further...
Yes, sorry: DCBSSWheels said:Hmmm ...
It seems that DCE isn't a triangle at all, since the 3 points are collinear!
BvU said:Yes, sorry: DCB
Any results yet from the original poster ?
A chord of a circle is a straight line segment that connects two points on the circle's circumference.
The length of a chord can be determined using the Pythagorean theorem, which states that the square of the length of the chord is equal to the difference between the square of the radius and the square of the distance between the center of the circle and the midpoint of the chord.
A diameter is a chord that passes through the center of the circle, dividing it into two equal halves. The length of a diameter is always twice the length of any other chord that shares the same endpoints.
No, a chord cannot be longer than the diameter of a circle. In fact, the longest chord possible in a circle is the diameter itself.
The length of a chord is affected by its location in relation to the center of the circle. The closer the chord is to the center, the shorter its length will be. Conversely, the further the chord is from the center, the longer its length will be.