AB and CD are equal chords. If OE is 3 cm and AB is 8 cm, then the value of OC is .
A
4 cm
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B
6 cm
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C
5 cm
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D
3 cm
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Solution
The correct option is C 5 cm In the given figure,Given: AB = CD = 8 cm and OE = 3 cm. We know that, a line drawn through the centre bisects the chord and is perpendicular to it. Thus, CF=CD2=4cm OE = OF = 3 cm ..... (Equal chords of a circle are equidistant from the centre.) Consider ΔOFC, OF2+CF2=OC2 .....(Pyhtagoras Theorem) 32+42=OC2 OC2=9+16=25 Thus, OC = 5 cm.