Can Veeky Forums solve this?

Can Veeky Forums solve this?
The length of the chord [math]\overline{AB}[/math] is 20, and it intersects the chord [math]\overline{CD}[/math] at a right angle, splitting it in to segments [math]\overline{CX}[/math] and [math]\overline{XD}[/math] of lengths 3 and 12, respectively. What is the radius of the circle?

Also, challenge problem thread.

do your own goddamn homework

I'm in calc three, this is entirely recreational.

Another one:
The square [math] WXYZ [/math] is partitioned into four triangles of areas 2, 4, 6, and 8, in some order, by the point [math] P [/math]. What is the distance from [math] P [/math] to [math] O [/math], the center of the circle?

Forgot pic
(This ones pretty easy)

I got the square root of 120.25, but I'm on mobile so I don't wanna write latex

And one last one:
Let [math] a,b,c\in\{1,2,3,4,5,6,7,8,9\} [/math] be base-10 digits. Find all values of [math] a,~b,[/math] and [math] c [/math] such that [eqn] (aaaa)\cdot (aaaa) = cccccccc - bbbb [/eqn]

2. Easy shit

I got the same thing.

Here's an interesting problem.

I got 15.