If we interpreted the wording correctly (and I believe we have) then I agree with your answer.

]]>It looks obvious.

It can only be considered obvious if one is willing to accept my interpretaion of it as in post #13.

You see the question is incomplete. It is missing some words.

distances from on the circumference

between "from" and "on" there is an important phrase missing. This is the confusion!

]]>This is what I drew. Circle center on y = x, Circle intersects (6,27) or (27,6). Tangent to the x and y axis.

]]>Is this correct?

Bob

]]>i was also stumped about 27 and 6. the diageam was corect

]]>For Q2:

The circular table in the diagram is pushed tangent to two perpendicular walls. The distances from on the circumference to the two walls are 27 and 6. What is the radius of the table?

r = 51 and r = 15

we reject r = 15 so the answer is r = 51.

]]>Do you agree with Q3?

Yes!

Are you giving hints about how you did them?

Bob

]]>Q2 has stumped us at the moment. I've made a diagram with a circular table against two walls. The walls are AB and AD.

We know that the angle at A is 90; and so are the angles at B and D as the walls make tangents.

So ABCD is a square.

So where does the 27 and 6 come from?

Bob

]]>I agree with both your answers.

Yes, a diagram would help.

I'll post a picture of what I am getting from the Q and maybe cooljackiec can correct it.

Bob

]]>