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Question

The radius of the circle with the center ‘O’ is 13 cm and a chord AB with the length of 10 cm on it. Calculate the distance of the chord AB from the center of the circle.

WBBSE Class X Mathematics Theorem Related To Circle 02 Mark 2022

Answer

The radius of the circle with the center O is 13 cm and a chord AB with the length of 10 cm on it

Radius (r) = 13 cm

BM = 10\over 2 = 5 cm

Distance from the centre (OM) : OM² = 13² – 5²

or, OM² = 13² – 5² = 169 – 25 = 144

or, OM = √144 = 12 cm

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