Question

A horse moves along a circular path that has 4 poles (A, B, C, and D) as shown in the figure below. A person asks the horse rider to identify OB, AC, and AD from the given figure.

A
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B
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C
OB: Diameter; AC: Arc; AD: Chord
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D
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Solution

The correct option is B OB: Radius; AC: Diameter; AD: ChordThe given figure of the path in which the horse moves is: From the figure, we can observe that O is the centre of the circular path, and A, B, C, and D are the poles on the path. After joining the points, we observe that ⇒ OB is the radius of the circle, O is the centre, and B is a point on the circumference of the circle. ⇒AC is the line passing through the centre of the circle, and both its ends are on the circumference of the circle. It means that AC is the diameter of the circle. ⇒ AD is also a line whose ends are on the circumference of the circle, but it does not pass through the centre. This means that AD is a chord of the circle. Hence OB, AC, and AD are the radius, diameter, and chord of the circular path respectively.

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