in a circle with radius 13 cm, the length of a chord is 24 cm, then find the distance of the chord from the centre
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Given
In a circle , there are two chord of length 24 cm each . radius of circle is 13 cm . find the distance of these chords from the centre of the circle
To Find
- Distance of the Chord from the Centre.
Solution
Given that ,
AB = 24 cm Since OM LAB ⇒OM bisects AB So, AM = 12 cm
⇒ OMA,
⇒ OA² = OM²+ AM²
⇒ OM² - OA²-AM² =
⇒ OM²= 132-122
⇒ OM² = 25
⇒ OM² = 5 cm
Therefore
Hence, the distance of the chord from the centre is 5 cm.
____
____Done.
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