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QUESTION IMAGE

the length ad is the same as the length and half of the length

Question

the length ad is the same as the length and half of the length

Explanation:

Step1: Recall the property of a circle's diameter and radius

In a circle, the diameter is twice the radius. Here, \(BC\) is a diameter (passing through the center \(D\)). \(AD\) is a radius (assuming \(D\) is the center as \(BC\) is a diameter).

Step2: Analyze the lengths

Since \(D\) is the center of the circle, \(BD = DC=AD\) (radii of the circle). And \(BC = BD + DC = 2AD\) (because \(BC\) is a diameter).

Answer:

The length \(AD\) is the same as the length \(BD\) and half of the length \(BC\).