Common chord

Two circles with radii 18 cm and 20 cm intersect at two points. Their common chord is 11 cm long. What is the distance between the centres of these circles?

Final Answer:

x =  36.4 cm

Step-by-step explanation:

r1=18 cm r2=20 cm t=11 cm  x12 = r12  (t/2)2 x22 = r22  (t/2)2  x1=r12(t/2)2=182(11/2)217.1391 cm x2=r22(t/2)2=202(11/2)219.2289 cm  x=x1+x2=17.1391+19.2289=36.4 cm



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