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Question
A chord is 12 cm away from the centre of the circle of radius 15 cm. Find the length of the chord
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Solution
Radius of a circle (OA) = 15 cm
Distance from centre to the chord (OC) = 12 cm
In the right ΔOAC,
AC2 = OA2 – OC2
= 152 – 122
= 225 – 144
= 81
AC = `sqrt(81)`
= 9
Length of the chord (AB)
= AC + CB
= 9 + 9
= 18 cm.
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