Move a circle tangent to an arc and an endpoint of a line

[marlon]

I need to move the circle shown here:

 

so that it becomes tangent to an arc and the endpoint of a line:

 

given these measurements

 

How do I do it? Thanks!

[eldon]

Offset the arc by 200. Draw a circle of radius 200 at the end of the line.

 

Where they intersect is the centre of the 200 radius circle.

[marlon]

You're a genius! thanks!

[Lee Mac]

Great idea Eldon I like it

[eldon]

Thank you, kind people, for your plaudits. I just like graphical solutions

[Strix]

Has that question been read correctly?

 

that circle isn't in a position where the line is tangent to it, although the arc is

 

surely the circle needs to be on the other side of the arc, such that it's the other end of the line that becomes tangent?

[eldon]

Has that question been read correctly?

 

that circle isn't in a position where the line is tangent to it, although the arc is

 

surely the circle needs to be on the other side of the arc, such that it's the other end of the line that becomes tangent?

 

You cannot have a tangent to an endpoint of a line, therefore I read it as passing through the endpoint of the line as dimensioned, and the OP seems quite happy

[marlon]

You're right, I should have said 'passing through the end point of a line' instead of 'tangent to the end point'. Sorry guys. What's an op?

[Car5858]

You're right, I should have said 'passing through the end point of a line' instead of 'tangent to the end point'. Sorry guys. What's an op?

 

 

Original Poster (you)