Question

two circles with radius 3cms and 5cms intersect each other at a point . if the distance between their points are 4cms . find the length of the chrod connecting.

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Answer 1

Answer:

Let the larger circle have its center at L and let the center of the smaller circle be S. Let the points of intersection of the circles be A and B. Let the common chord AB intersect the line joining the centers L and S at P.

LA = LB = 5cm. SA = 3cm. LS = 4cm.

Thus LAS and LBS are right-angled triangles with the right angle at P (actually, P coincides with S). Thus AP (or rather AS) will be half the common chord and the common chord AB will be 2* SA which is 6 cm and so your answer.

Step-by-step explanation:

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