Two concentric circles are of radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.

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Concentric Circles, Perpendicular from Centre Bisects the Chord | PadhAiPro

Question

TextConcentric CirclesPerpendicular from Centre Bisects the ChordCBSE PYQ

In the given figure, AOB is the diameter of circle with centre O and P is any point on the circle. Find ∠APB.

If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD (see Fig. 9.12).

Concentric Circles

AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is :

In Fig. 10.3, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to:

If the perpendicular bisector of a chord AB of a circle PXAQBY intersects the circle at P and Q, prove that arc PXA ≅ Arc PYB.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.