The length of a chord of a circle of 16.8cm, radius is 9.1cm find its distance from the centre
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Answer:
- Distance from the centre is 3.5 cm.
Step-by-step explanation:
Given :
- The length of a chord of a circle of 16.8 cm, radius is 9.1 cm.
To find :
- The distance of chord from the centre.
By theorem
Now it's Radius,
⟹ AC = 1/2AB
⟹ 1/2 × 16.8
⟹ 8.4 cm.
In ΔOCA,
By Pythagoras theorem
OA^2=AC^2+OC^2 OA
⇒ (9.1)^2=(8.4)^2+d^2(9.1)
⇒ 82.81-70.56=d^2
⇒ 82.81−70.56=d^2
⇒ d^2=12.25
⇒ d=3.5 cm
Hence, distance from the centre. is 3.5 cm.
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