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I am stuck with the circle with unknown radius notice that's my first drawing

R1 = 70 + 25 ( the circle with R1 and circle with 25 has the same tangent when they meet)

\((R_2+R_1)^2 = (R_2+30)^2 + 120^2 \) can you guess how i got that?

Trying.. to find the tangent :/

Isn't this part an arc ?

ok the arc is an part of a circle. ill use arc then
when two arcs with different radii meet together, for them to have a smooth connection, the tangents of the each arc has to be same.
Sorry i have circled it little bit to the left. refer the below diagram

|dw:1444304019186:dw|
Excuse me, but that's the first application of open belt, cross belt, .... etc

|dw:1444304295640:dw| Maybe the radius if is > than 25 +70

what are you suggesting? BAdhi seems to have the right idea.

circles overlap

I know , he 's right, but I can't understand him

The curve has only one straight line, so all the places where the curve changes direction must be where the radii "line up"

Got it, I will try to plot it. and see the result

from Pythagorean Theorem

That's how you got (R_2 + R_1)^2 = (120)^2 + ( R_2 + 30 )^2

He found R1 to be 95

I never thought we'd use Pythagorean in engineering drawing -,-

Yes, if angle at M is 90 deg (I assume it is)

Pythagoras is one of the GREAT theorems. It pops up all the time.

A circle with 95 radius doesn't tangent -,-

what do you mean ?

Is this CAD or hand drawing?

Thanks guys, SOLVED. Should I write down the figure the steps of how I got R2 ?

Yes, I would like to see the solution

Here you go

Hand drawing is fun.. of course after a little bit of practice.. its kinda become an art ;)

well sorry I dont have any material in the internet that i know of :(

Thanks for your time @BAdhi .

you are welcome :)