Intersections 68784

The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places.

Correct answer:

x =  11.06 cm

Step-by-step explanation:

r1=9 cm r2=5 cm t=8 cm  y=t/2=8/2=4 cm x1=r12y2=9242=65 cm8.0623 cm x2=r22y2=5242=3 cm  x=x1+x2=8.0623+3=11.06 cm

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