length of a chord of a circle is 24 cm if the distance of a chord from the centre is 5 cm then the radius of that circle is
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Given: length of chord=24cm
distance of a chord from center=5cm
To find: radius of circle
Step by step explanation: Since we know that perpendicular drawn from the center of a circle bisects the chord.
Therefore, AC=12cm
In right triangle OBC , using pythagoras theorem
OA^2 = OC^2+AC^2
=5^2+12^2
=25+144
OA=√169
=13cm
Answer: Radius of given circle is 13cm.
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