1.)

Chords AB and CD of a circle are perpendicular, and meet at P. If AP = 3, BP = 4, DP = 2, and CP = 6, then find the diameter of the circle.

Guest Apr 5, 2020

edited by
Guest
Apr 5, 2020

#1**0 **

You can draw AC and AD, which gives you a right triangle. The radius of the circle is then sqrt(26).

Guest Apr 6, 2020

#2**0 **

You can't prove CAD is a right triangle because CD is not the diameter.

AnExtremelyLongName
Apr 6, 2020

#3**+1 **

*Hey guest*

We copy AB to the other side of the circle. We can now form a rectangle. We use pythaogorean theorem to calculate the red line, which is the diameter.

\(4^2+7^2=65\)

DIameter = \(\boxed{\sqrt{65}}\)

AnExtremelyLongName Apr 6, 2020