Question

the radius of a circle is 13cm and the length of one of its chords is 10cm . find the distance of the chord from the centre.

Answer 1

Radius of circle =13 cm

Length of the chord = 10cm

Construction :-

Join end points of chord to centre

Draw a perpendicular on the chord from the centre.

$\rule{200}{2}$

Now,

Perpendicular from centre bisects the chord.

Thus AB = 5 cm

$\rule{200}{2}$

IN TRIANGLE OAB :-

AO² = AB² + BO²

13² = 5² + BO²

$bo = \sqrt{169 - 25} \\ \\ \\ bo = \sqrt{144} = 12$

$\rule{200}{2}$

Length of the perpendicular from centre on the chord is 12 centimeters.

$\rule{200}{2}$