Q13 of 100 Page 17

In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is

Given: O is the centre of circle

AB and CD are diameters of the circle


AO = BO = CO = DO (Radius of the circle)


In right angle AOC,


Cos A =


Cos A =


Cos A = (i)


∠OMA = 90°


∠AOM = ∠MAO = 45°


Using value of angle A in (i)


Cos 45° =


=


AC = AB

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