# Distance between center of two circles

• Jun 2nd 2014, 02:20 AM
jamiee
Distance between center of two circles
Attachment 31056

I have to find O1O2 but I've no idea how.. Any advices ? Thank you!
• Jun 2nd 2014, 03:31 AM
Plato
Re: Distance between center of two circles
This is not a homework service.
That is not the way it works here. You must show some effort. Post some effort.
Then then tell us what you do not understand.
• Jun 2nd 2014, 06:12 AM
Soroban
Re: Distance between center of two circles
Hello, jamiee!

Quote:

Attachment 31056

I have to find O1O2.

You know you have a trapezoid, don't you?
Take a good look at it.

Code:

```    O1*       | *       |  *     8 |    *       |      *       |        *       * . . . . . *O2       |    15    |     3 |          | 3       |          |       * - - - - - *           15```
Do you see the right triangle?
• Jun 3rd 2014, 10:54 AM
HallsofIvy
Re: Distance between center of two circles
If you draw a line from \$\displaystyle O_2\$ perpendicular to \$\displaystyle AO_1\$ you cut the figure into a rectangle and a right triangle (the right triangle Soroban is referring to). The distance between centers is the length of the hypotenuse of that right triangle. What are the lengths of the two legs of the right triangle?