Question : The angle subtended by a chord PQ on the centre of a circle is 180°. If the length of chord PQ is 54 cm, then what will be the diameter of this circle?
Option 1: 54 cm
Option 2: 81 cm
Option 3: 27 cm
Option 4: 64 cm
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Correct Answer: 54 cm
Solution :
In a circle, a chord that subtends an angle of 180° at the centre is the diameter of the circle.
This is because a 180° angle at the centre of a circle spans half the circle, which is the definition of a diameter.
So, if the chord PQ subtends an angle of 180° at the centre and its length is 54 cm, then the diameter of the circle is also 54 cm.
Hence, the correct answer is 54 cm.
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