Radius of a circle is 10 cm and length of one of its chords is 12 cm . find the distance of the chord from the centre
Answers
The distance of the chord from the centre = 8 cm if Radius of a circle is 10 cm and length of chords is 12 cm
Step-by-step explanation:
Radius of a circle is 10 cm and length of one of its chords is 12 cm
Radius = 10 cm
Chord = 12 cm
let say AB = Chord = 12 cm
OM ⊥ AB ( O is center of circle )
perpendicular from center at chord bisect chord
=> AM = BM = AB/2 = 12/2 = 6 cm
OA = OB = Radius = 10 cm
OM = ? ( Distance of chord from center)
Applying Pythagorean theorem
OA² = OM² + AM²
=> 10² = OM² + 6²
=> OM² = 100 - 36
=> OM² = 64
=> OM = 8
the distance of the chord from the centre = 8 cm
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