Question

Two concentric circles are of radii 5cm and 3cm.find the length of the chord of the larger circle which touches The smaller circle. Plzza answer it

Answer 1

Let O be the common centre of the two concentric circles.

Let AB be a chord of the larger circle which touches the smaller circle at P.

Join OP and OA.

Then, OPA =

[The tangent at any point of a circle is to the radius through the point of contact

OA2 = OP2 + AP2

[By Pythagoras theorem]

= 16

AP = 4 cm

Since the perpendicular from the centre of a circle to a chord bisects the chord, therefore

AP = BP = 4 cm

AB = AP + BP

= AP + AP = 2AP

= = 8 cm

Answer 2

Your answer

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