In a circle of radius 10 cm, AB and CD are two parallel chords of lengths 16 cm and 12 cm respectively. Calculate the distance between the chords, if they are on :

(i) the same side of the center

(ii) the opposite side of the center

In the given figure, O is the center of the circle with radius 20 cm and OD is perpendicular to AB.

If AB = 32 cm, find the length of CD.

In the given figure, AB and CD are two equal chords of a circle, with center O.

If P is the mid-point of chord AB. Q is the mid-point of chord CD and ∠POQ = 150°, find ∠APQ.

In the given figure, AOC is the diameter of the circle, with center O. If arc AXB is half of arc BYC, find ∠BOC.