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AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle
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AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB i...
Given chords AB=6 cm, CD =12 cm and AB||CDDraw OP⊥ AB. Let it intersect CD at Q and AB at P ∴ AP = PB = 3 cm and CQ = DQ = 6 cm [Since perpendicular draw from the centre of the chord bisects the chord] Let OD = OB = r In right ΔOQD, r2 = x2 + 62 [By Pythagoras theorem] r2 = x2 + 36 → (1) In right ΔOPB, r2 = (x + 3)2 + 32 [By Pythagoras theorem] Þ r2 = x2+ 6x + 9 + 9 = x2 + 6x + 18 → (2) From (1) and (2) we get x2 + 36 = x2 + 6x + 18 ⇒ 6x = 18 ∴ x = 3 Put x = 3 in (1), we get r2 = 32 + 36 = 9 + 36 = 45 ∴ r = √45 = 3√5 cm
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AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle
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AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle.
AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for AB and CD are two chords of a circle such that AB=6cm,CD=12cm and AB is parallel to CD the diatancd between AB and CD is 3cm find radius of circle.
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