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% Inscribed angle properties
% Copyright (c) Christian Obrecht 2001
frame(-2,-2,2,2)
a interactive(110,1,"A",up)
b interactive(-160,1,"B",up)
c interactive(-20,1,"C",up)
O = point(0,0) ; ci = circle(O,1)
A = point(ci,a:) ; B = point(ci,b:) ; C = point(ci,c:)
BAC = abs(angle(B,A,C)) ; BOC = abs(angle(B,O,C))
color(lightgray)
draw(segment(B,A)) ; draw(segment(C,A))
draw(segment(B,O)) ; draw(segment(C,O))
color(black)
draw(ci) ; draw(O)
draw("O",O,.1,90:) ; draw("A",A,.1,a:)
draw("B",B,.1,b:) ; draw("C",C,.1,c:)
draw(BAC,"[BAC] = %.1f",point(1.3,1.8),0:)
draw(BOC,"[BOC] = %.1f",point(1.3,1.5),0:)
draw(360-BOC,"360-[BOC] = %.1f",point(1.3,1.2),0:)
color(red)
draw(A) ; draw(B) ; draw(C)
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