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The angle subtended in a semi-circle by the largest chord of a circle is:

We know that the diameter is the longest chord that can be formed.

Let PQ be the diameter.

We can say that the angle subtended by a chord at the centre is twice the angle subtended by that chord at any point on the circumference.

Angle subtended by PQ at centre O is 180^o.

So, it follows that the angle in a semicircle is always a right angle.

Hence, an angle subtended in a semi-circle by the largest chord of a circle is a right angle.