In a circle of radius 17 cm, a chord is at a distance of 15 cm from the centre of the circle. What is the length of chord?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16 cm
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Concept |
Understanding |
Application |
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Perpendicular drawn from the center of a circle to the chord divides the chord into 2 equal parts. |
In the figure: OB = R = 17 cm OP = 15 cm |
Applying Pythagoras theorem in triangle OPB: PB = √(172 - 152) = √(289-225) = √64 = 8 Hence, AB = 2PB = 16 cm |