Did you draw it on graph paper?

No, and that's pointless

Making sure you can visualize it properly is not pointless, though. I drew a quick sketch, then again on graph paper to be sure I understood it.It looked really obvious at first glance but that was wrong. I'll take another look when I have more than a minute to work on it. I don't think this one is hard.

I solved it. use the fact that the radius of the inner circle is perpendicular to the circumference of the bigger circles, and draw tangents. It's so easy what, are you even asian, disgrace to the asian race man.

? I know how to do itBased on your explanation I'm not sure you know how to do itDiscounting the straight line that runs from the center of one circle to the other, you don't need to draw a single tangent.

show me your way, maybe i took an extra step.

still waiting for timothy42b who says that questions are obvious before he visualizes them

It looked really obvious at first glance but that was wrong.

I do?I'm the one who said you have to draw it first, which "somebody" angrily rebutted.

clue - draw the diagram (doesn't need to be on graph paper) to give you some known lengths using a little elementary geometry, then solve it algebraically. I studied the diagram for ages last night to no avail, then turned it into algebra this morning and the answer popped out easily.

fine. i was trying to be helpful but as usual on this puerile forum when that happens you get slagged off.

You need to use formulas relating to circles, I'm assuming some arc length ones will help, was like 20 years ago I had to use it lol.

I just wanted to know if you did the same thing as me, sorry for being abrasive. Did you get the equation, 5/6 squared + r^2 = (1 - r)^2.

yes i did. the squared terms drop out so it's easy.There's also a more general formula, which is r = 1/2 b (1 - 1/4 b), where b is the width of the overlap. not looked at cases where original circles differ in size, but where they are same size you always get a smaller circle with rational radius.You can then go on to find even smaller circles, again with rational radius, using Descartes' formula.

The solution is F. Why are you trying to cheat on your homework?

Aye man you gotta do what you gotta do to survive in school.I remember Freshman and Sophmore year I ran a con game where I would give people my theory homework cause I could blast through everything in a few minutes and they would give me their aural skills or music history homework.

Gave the girls some of that D.