In a circle, if a tangent and a chord intersect at a point on the circle, and th

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Question: In a circle, if a tangent and a chord intersect at a point on the circle, and the angle between them is 30°, what is the angle subtended by the chord at the center?

Options:

30°
60°
90°
120°

Correct Answer: 60°

Solution:

The angle subtended by the chord at the center is twice the angle between the tangent and the chord, so it is 2 * 30° = 60°.

In a circle, if a tangent and a chord intersect at a point on the circle, and th

Practice Questions

In a circle, if a tangent and a chord intersect at a point on the circle, and the angle between them is 30°, what is the angle subtended by the chord at the center?

30°
60°
90°
120°

Questions & Step-by-Step Solutions

In a circle, if a tangent and a chord intersect at a point on the circle, and the angle between them is 30°, what is the angle subtended by the chord at the center?

Tangent-Chord Angle Theorem – The angle formed between a tangent and a chord through the point of contact is equal to the angle subtended by the chord at the opposite arc.
Central Angle – The angle subtended by a chord at the center of the circle is twice the angle subtended at any point on the circumference.

In a circle, if a tangent and a chord intersect at a point on the circle, and th

What’s inside this PDF?

In a circle, if a tangent and a chord intersect at a point on the circle, and th

Practice Questions

Questions & Step-by-Step Solutions

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