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Circles and Angles

Mathematics · Kerala SSLC (Class 10) · English Medium · 39 questions and answers

Sample questions

Q: What is a central angle?
A: An angle whose vertex is at the centre of the circle and whose two sides are radii. It sits on the arc between those two radii.
Q: What angle does an arc make at a point on the circle?
A: Join the ends of the arc to a point on the circle that is not on the arc. This angle (often called an inscribed angle) is half the central angle of the arc.
Q: Two inscribed angles stand on the same arc. What can you say about them?
A: They are equal. All inscribed angles standing on the same arc are equal, because each is half of the same central angle.
Q: What is a cyclic quadrilateral?
A: A quadrilateral whose four vertices all lie on a single circle.
Q: What is an arc of a circle?
A: A part of a circle between two points on it. Two points split a circle into two arcs; each is called the alternate arc of the other.

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