# Everything about Circle Theorems Video Lecture - Crash Course: Class 10

254 videos

## FAQs on Everything about Circle Theorems Video Lecture - Crash Course: Class 10

 1. What are the different circle theorems? Ans. Some of the important circle theorems include the tangent-chord theorem, the angle at the center theorem, the angle in a semicircle theorem, the cyclic quadrilateral theorem, and the alternate segment theorem. These theorems provide valuable insights and relationships between angles, arcs, and chords in a circle.
 2. How can the tangent-chord theorem be applied? Ans. The tangent-chord theorem states that the angle between a tangent and a chord drawn from the point of contact is equal to the angle in the alternate segment. This theorem can be used to find unknown angles or lengths in a circle when tangents and chords are involved. By applying this theorem, one can solve various geometric problems related to circles.
 3. What is the angle at the center theorem? Ans. The angle at the center theorem states that the angle subtended by an arc at the center of a circle is twice the angle subtended by the same arc at any point on the circumference. This theorem helps in determining angles formed by arcs or chords in a circle, providing a useful tool in solving circle-related problems.
 4. How does the angle in a semicircle theorem work? Ans. According to the angle in a semicircle theorem, the angle formed by any chord and its corresponding arc, when the chord is extended to the ends of the arc, will always be a right angle (90 degrees). This theorem allows us to find or prove right angles in circle geometry by identifying semicircles and their associated chords.
 5. What is the alternate segment theorem used for? Ans. The alternate segment theorem states that the angle between a chord and a tangent at the point of contact is equal to the angle subtended by the chord in the alternate segment. This theorem is applied to determine unknown angles or lengths in a circle where tangents and chords are involved. It provides a fundamental relationship between angles formed by tangents and chords in a circle.

## Crash Course: Class 10

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