The circle centered at (2,-1) and with radius 4 intersects the circle centered at (2,-5) and with radius sqrt(10) at two points A and B. Find (AB)^2
+1693 The circle centered at (2,-1) and with radius 4 intersects the circle centered at (2,-5) and with radius sqrt(10) at two points A and B. Find (AB)2
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PR = 4 PQ = 4 - QR
(BP)2 - (PQ)2 = (BR)2 - (QR)2
42 - (4 - QR)2 = 10 - (QR)2
QR = 11/4 (PQ = 23/4)
AB = 2{sqrt[(BR)2 - (QR)2]}
(AB)2 = 333/4
+1693 The circle centered at (2,-1) and with radius 4 intersects the circle centered at (2,-5) and with radius sqrt(10) at two points A and B. Find (AB)2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
PR = 4 PQ = 4 - QR
(BP)2 - (PQ)2 = (BR)2 - (QR)2
42 - (4 - QR)2 = 10 - (QR)2
QR = 11/4 (PQ = 23/4)
AB = 2{sqrt[(BR)2 - (QR)2]}
(AB)2 = 333/4
