Question

What is the length of the common chord of two circles of radii 12 cm and 16 cm, where distance between their centers is 20 cm?

Q: What is the length of the common chord of two circles of radii 12 cm and 16 cm, where distance betwe

Let radius of circle with center A be r 1 and circle with center C be r 2 , and AC = d be the distance between the centers. We know the length of the common chord of two circles = 2r1r2/d = 2 * 12 * 16/20 = 19.2 cm

A 6.4 cm

B 19.2 cm

C 9.4 cm

D 12.8 cm

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Question

What is the length of the common chord of two circles of radii 12 cm and 16 cm, where distance between their centers is 20 cm?

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