https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:geometrical-constructions/x06d55bfa213a79fd:construction-of-a-circle/v/construct-a-circle-segment-given-a-chord-and-a-chord-angle 2026-02-18T21:20:35.275198076Z Construct a circle segment given a chord and a chord angle In this video, we show how to construct a circle segment when a chord and its chord angle are given, with a clear explanation of the geometric reasoning behind the method. The key idea is that the angle subtended by a chord at the centre of the circle is double the angle subtended by it on the circle, and this property guides us in locating the circle’s centre. A special case arises when the chord angle is 90°—in this situation, the angle at the centre becomes 180°, meaning the chord itself is a diameter and the segment is a semicircle. By the end of the video, you’ll understand not only the construction steps but also the rationale that makes the process precise and easy to understand. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Construct a circle segment given a chord and a chord angle In this video, we show how to construct a circle segment when a chord and its chord angle are given, with a clear explanation of the geometric reasoning behind the method. The key idea is that the angle subtended by a chord at the centre of the circle is double the angle subtended by it on the circle, and this property guides us in locating the circle’s centre. A special case arises when the chord angle is 90°—in this situation, the angle at the centre becomes 180°, meaning the chord itself is a diameter and the segment is a semicircle. By the end of the video, you’ll understand not only the construction steps but also the rationale that makes the process precise and easy to understand. 326 Construction of a Circle https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:geometrical-constructions/x06d55bfa213a79fd:construction-of-a-circle/e/constructions-related-to-circles 2026-03-11T06:20:45.557347727Z