https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:geometry/x3f4c73d082a798eb:circle-theorem-ii/v/proof-equal-chords-are-equidistant-from-the-center-pk 2025-11-29T07:01:24.846724792Z Proof: Equal chords are equidistant from the center Created by Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proof: Equal chords are equidistant from the center Created by Khan Academy https://cdn.kastatic.org/ka-youtube-converted/tjlfK3cO3yc.mp4/tjlfK3cO3yc.mp4 312 Circle theorem II https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:geometry/x3f4c73d082a798eb:circle-theorem-ii/e/chords-in-circles 2025-06-18T23:30:37.717264784Z Chords in circles Given 2 chords that intersect within a circle and some relevant measures, calculate a missing measurement. Charlie Auen exercise https://www.khanacademy.org/math/geometry/hs-geo-circles/xff63fac4:hs-geo-proofs-with-inscribed-shapes/v/sss-to-show-a-radius-is-perpendicular-to-a-chord-that-it-bisects 2021-02-16T16:08:13Z Proof: radius is perpendicular to a chord it bisects Sal proves that if a radius in a circle is drawn so it bisects a chord, then the radius is also perpendicular to that chord. The proof uses SSS congruence. Sal Khan video https://cdn.kastatic.org/googleusercontent/k-hnsxxATEcb8lem_K1me8yzljfmfJ4YJyyl2C5uv00btaFD0KOJ0sUJsLvVwCOfP--FaXh2QLUO1P8fbNcvKQvv Proof: radius is perpendicular to a chord it bisects Sal proves that if a radius in a circle is drawn so it bisects a chord, then the radius is also perpendicular to that chord. The proof uses SSS congruence. https://cdn.kastatic.org/ka-youtube-converted/TgDk06Qayxw.mp4/TgDk06Qayxw.mp4 499 Circle theorem II https://www.khanacademy.org/math/revision-term-1-od-math-class-10/x03e14a980a7a91ad:week-3/x03e14a980a7a91ad:circle/e/perpendicular-from-centre-to-a-chord 2026-04-07T23:17:37.123726494Z Perpendicular from centre to a chord and chords equidistant from centre Let's solve some problems to better understand and apply the theorem that talks about the perpendicular dropped from the centre of a circle to a chord. Aakash Bagga exercise https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-inscribed-shapes/a/challenge-problems-inscribed-shapes 2026-03-10T04:30:37.966653692Z Challenge problems: Inscribed shapes Solve three challenging problems that apply properties of inscribed shapes to find an arc length or a missing angle. article https://www.khanacademy.org/math/cambridge-o-level-mathematics-4024/x3f4c73d082a798eb:geometry/x3f4c73d082a798eb:circle-theorem-ii/v/proof-segments-tangent-to-circle-from-outside-point-are-congruent-indian-accent 2025-07-25T08:13:50.602067006Z Proof Segments tangent to circle from outside point are congruent We prove that two tangent segments to a circle that are drawn from the same outside point are congruent. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proof Segments tangent to circle from outside point are congruent We prove that two tangent segments to a circle that are drawn from the same outside point are congruent. https://cdn.kastatic.org/ka-youtube-converted/2JHbqyxTH7E.mp4/2JHbqyxTH7E.mp4 229 Circle theorem II https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-tangents/a/challenge-problems-radius-of-a-circle-with-a-tangent 2022-09-10T02:03:40.164764806Z Challenge problems: radius & tangent Solve two challenging problems that apply properties of tangents to find the radius of a circle with a tangent. article