Multiple choice

Angle subtended by a chord PQ on the centre of a circle is 180 degree. If length of chord PQ is 54 cm, then what will be the diameter of this circle?

  1. 54 cm

  2. 81 cm

  3. 27 cm

  4. 64 cm
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A Correct answer
Explanation

When an angle subtended by a chord at the center of a circle is 180°, the chord must be a diameter of the circle. This is because the angle at the center is twice the angle at the circumference, and a 180° central angle means the arc is a semicircle. Therefore, if chord PQ is 54 cm, the diameter is also 54 cm.

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