12 cm
Find the distance at which the chord lies from the centre of a circle if
(a) radius = 10 cm, length of the chord
(b) radius = 15 cm, length of the chord = 24 cm
(c) radius = 20 cm, length of the chord = 32 cm
Answers
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Step-by-step explanation:
Answer. Distance of chord from the centre = 8cm
Step-by-step explanation:
Theorem used: Perpendicular from the centre bisects the chord.
Given:
Radius = 10cm
Length of chord = 12cm
To find:
Distance of chord from the centre
Procedure:
Construct a perpendicular OD from the centre to the chord AB. We know that a perpendicular from the centre bisects the chord. Therefore, AD=BD=6cm.
In Triangle OBD,
OD =
OD = = 8cm..
FIGURE IS ATTACHED.
Attachments:
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