Question 38

Find the length of a chord which is at a distance of 8 cm from the centre of a circle having a radius of 17 cm.

Name: Find the length of a chord which is at a distance of 8 cm from the centre of a circle having a radius of 17 cm.
Uploaded: 2026-08-06T09:48:34.546262+05:30
Duration: 2 min 59 s
Description: Find the length of a chord which is at a distance of 8 cm from the centre of a circle having a radius of 17 cm.

Solution

The perpendicular distance of the chord from center O is OA i.e. 8cm and radius is OB i.e. 17cm.
AB i.e. half of the length of the chord = $$\sqrt{\ OB^2-OA^2}$$
==> $$\sqrt{\ 17^2-8^2}=15$$ cm.
Length of the chord = 2*15 = 30 cm.

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