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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.

 Apr 5, 2020
edited by Guest  Apr 5, 2020
 #1
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You can draw AC and AD, which gives you a right triangle.  The radius of the circle is then sqrt(26).

 Apr 6, 2020
 #2
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You can't prove CAD is a right triangle because CD is not the diameter.

 #3
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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 = \(\boxed{\sqrt{65}}\)

.
 Apr 6, 2020

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