A 5 cm long perpendicular Is drawn from the centre of a circle to a 24 cm long chord. Find the diameter of the circle.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 26 cm
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Understanding |
Application |
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Perpendicular from the center of a circle to a chord, bisects the chord. In right triangle OPB, Using Pythagoras theorem, |
O is the center of the circle and OB is the radius of the circle. OP is perpendicular to AB. AP = PB = 24/2=12 cm OP = 5 cm OB2= PB2+ OP2 OB2= 122+ 52 OB2= 169 OB= 13 cm Diameter = 2 × Radius Diameter = 2 × 13 Diameter = 26 cm |
