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Angles Related to a Circle - Mathematics, Class 9 Video Lecture

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FAQs on Angles Related to a Circle - Mathematics, Class 9 Video Lecture

1. What are the angles related to a circle?
Ans. Angles related to a circle include central angles, inscribed angles, and angles formed by intersecting chords, secants, and tangents.
2. What is a central angle?
Ans. A central angle is an angle whose vertex is at the center of a circle, and its arms are two radii of the circle. The measure of a central angle is equal to the intercepted arc's measure.
3. What is an inscribed angle?
Ans. An inscribed angle is an angle whose vertex is on the circle, and its arms are two chords, secants, or tangents intersecting the circle. The measure of an inscribed angle is half the measure of its intercepted arc.
4. How are angles formed by intersecting chords related to a circle?
Ans. When two chords intersect inside a circle, the angles formed are called angles formed by intersecting chords. These angles have a special relationship: the product of the measures of two angles formed by intersecting chords is equal.
5. What is the relationship between a tangent and a radius in a circle?
Ans. In a circle, a tangent is a line that touches the circle at exactly one point, called the point of tangency. The tangent and the radius drawn to the point of tangency are perpendicular to each other.
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