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Find the length of the chord of a circle where the radius is 7 cm and perpendicular distance is 6 cm.

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Using the chord-length formula or the Baudhāyana–Pythagoras Theorem, the half-chord measures √13 cm. Therefore, the complete chord length is 2√13 cm.

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  1. Draw a perpendicular from the centre of the circle to the chord. It bisects the chord into two equal parts. Applying the Baudhāyana–Pythagoras Theorem to the right triangle, the half-chord is obtained as √13 cm. Doubling this value gives the full chord length. Therefore, the required chord length is 2√13 cm.

     

    For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/

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