In a circle of radius 13 cm, a chord is at a distance of 12 cm from the centre of the circle. What is the length of the chord?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 10 cm
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Concept |
Understanding |
Application |
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Perpendicular drawn from the centre of a circle to the chord divides the chord in 2 equal parts. |
In the figure: OB = R = 13 cm OP = 12 cm |
Applying Pythagoras theorem in triangle OPB: PB = √(132 - 122) = √(169-144) = √25 = 5 Hence, AB = 2PB = 10 cm |