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1. 71.vo circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

1. 71.vo circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
3 years ago
We know that line joining the centres is perpendicular bisector of the common chord. The common chord passes through the centre of the smaller circle. .. LPAO = 90°, OA = 4 cm and OP = 5 cm. .. Applying Pythagoras theorem, we have PA = (5")2 - (4)2 cm = .J20 -16 cm J9 cm = 3 cm. = Further, PQ = 2PA = 2 x 3 = 6 cm.

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