Question

A chord of a circle is 10 cm from the center. If radius is 26 cm, find chord length. (NCERT Class 10 – Important)

Answer: Perpendicular from center to chord bisects it. Let half‑chord = x, distance=10, radius=26. Right triangle: x²+10²=26² ⇒ x²=676−100=576 ⇒ x=24. Chord=2x=48 cm.

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Question

A chord of a circle is 10 cm from the center. If radius is 26 cm, find chord length. (NCERT Class 10 – Important)

Answer: Perpendicular from center to chord bisects it. Let half‑chord = x, distance=10, radius=26. Right triangle: x²+10²=26² ⇒ x²=676−100=576 ⇒ x=24. Chord=2x=48 cm.