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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Question : The angle subtended by a chord on the centre of a circle is 180°. What will be the angle subtended by the same chord on the circumference of this circle?
Option 1: 120°
Option 2: 95°
Option 3: 90°
Option 4: 45°
Question : The angle subtended by a chord OP on the circumference of a circle is 90°. If the diameter of the circle is 44 cm, then what will be the length of the chord OP?
Option 1: 44 cm
Option 2: 88 cm
Option 3: 66 cm
Option 4: 22 cm
Question : The angle subtended by a chord on the major arc of the circle is 50°. What is the angle subtended by the same chord on the centre of the circle?
Option 1: 100°
Option 2: 120°
Option 3: 140°
Option 4: 25°
Question : The diameter of a circle is 20 cm. The length of a chord AB is 10 cm. What will be the angle made by this chord at the centre of this circle?
Option 1: 75°
Option 2: 45°
Option 3: 60°
Option 4: 90°
Question : The length of the chord AB of a circle is equal to the radius of the circle. What will be the angle subtended by the chord at the centre of the circle?
Option 1: 40°
Option 2: 60°
Option 3: 30°
Option 4: 50°
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