+0  
 
0
553
2
avatar

Let A, B, C be points on circle O such that AB is a diameter, and CO is perpendicular to AB. Let P be a point on OA, and let line CP intersect the circle again at Q. If OP = 20 and PQ = 8, find r^2, where r is the radius of the circle.

 

 Nov 4, 2020
 #1
avatar
0

r^2 = 20.

 Nov 5, 2020
 #2
avatar+1641 
+2

QP * PC = AP * PB

 

8 * sqrt(r2 + 202) = (r - 20)*(r + 20)

 

r = 25.70069473            r2 = 660.5257097  smiley

 

jugoslav  Nov 5, 2020
edited by jugoslav  Nov 5, 2020

0 Online Users