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(a) In the figure given below, O is the center of the circle. AB and CD are two chords of the circle, OM is perpendicular to AB and ON is

perpendicular to CD. AB = 24 cm,

OM = 5 cm, ON = 12 cm. Find the:

(i) the radius of the circle.

(ii) length of chord CD.

(b) In the figure (ii) given below, the CD is the diameter which meets the chord AB in E

such that AE = BE = 4 cm. If CE = 3 cm, find the radius of the circle.

that

Answer:

(a)Given : AB = 24 cm, OM = 5cm, ON = 12cm

OM ⊥ AB

M is the midpoint of AB

AM = 12 cm

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