https://www.khanacademy.org/math/revision-term-1-mh-math-class-10/x041ca11815640a3a:week-3/x041ca11815640a3a:circle/v/proof-equal-chords-are-equidistant-from-the-center 2024-06-20T19:30:06.526648211Z Proof: Equal chords are equidistant from the center We discuss the proof of theorem which says that the equal chords of the circle are equidistant from the center. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proof: Equal chords are equidistant from the center We discuss the proof of theorem which says that the equal chords of the circle are equidistant from the center. https://cdn.kastatic.org/ka-youtube-converted/NglXukgt-GM.mp4/NglXukgt-GM.mp4 312 Distance of Chords from the Centre https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:perpendicular-to-the-chord-and-equal-chords/v/chords-equidistant-from-the-centre-of-the-circle-are-equal-in-length 2026-02-11T08:39:31.456454846Z Chords equidistant from the centre of the circle are equal in length This video explains why chords equidistant from the centre of a circle are equal in length, using the concept of congruency. By drawing perpendiculars from the centre to each chord, we form two right triangles. Since the perpendiculars are equal and the radii are equal, the triangles are congruent. From this congruency, it follows that the corresponding chord segments are equal, proving that the chords themselves are equal in length. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Chords equidistant from the centre of the circle are equal in length This video explains why chords equidistant from the centre of a circle are equal in length, using the concept of congruency. By drawing perpendiculars from the centre to each chord, we form two right triangles. Since the perpendiculars are equal and the radii are equal, the triangles are congruent. From this congruency, it follows that the corresponding chord segments are equal, proving that the chords themselves are equal in length. 197 Distance of Chords from the Centre https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:perpendicular-to-the-chord-and-equal-chords/e/perpendicular-from-the-center-to-a-chord 2026-02-20T04:00:32.356270105Z Perpendicular from the center to a chord In this exercise, we will learn how to implement the following properties of chords of a circle. (1) The perpendicular from the centre of a circle to a chord bisects the chord. (2) The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord (3) Equal chords are equidistant from the centre Khan Academy exercise