The radius of a circle is 13 cm and the length of one of its chord is 10 cm . Find the distance of the chord from the center.
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Answer:
Step-by-step explanation:
Draw perpendicular from the centre of the circle to the chord.
Chord=10cm
Radius = 13cm
Distance of the chord from the centre will be obtained by using Pythagoras theorem..
Let perpendicular be OP...
Radius is OR and chord is RQ
Now...
(OR )^2= (OP)^2+(PR)^2
(13)^2=(OP)^2+(10)^2
169 = (OP)^2 + 100
169-100 = (OP)^2
69 = (OP)^2
OP = √69...
Therefore, distance of chord from centre is √69 cm
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