radius of a circle is 25 cm and the distance of its chord from the centre is 4 cm what is the length of the chord?
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Answers
Answered by
3
Answer:
As perpendicular from centre bisects the chord,
⇒CA=AD=20cm
In ΔOAD, OD2=OA2+AD2(Pythagoras thereom)
⇒OA2=OD2−AD2
=252−202
=625−400=225
⇒OA=15cm
OA is distance of chord from O.
Step-by-step explanation:
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Answered by
18
Step-by-step explanation:
Here's ur solution -
Given,
r = 25cm
chord AB = 40cm
We know that,
perpendicular from centre bisects the chord.
So the Length of chord AM = 20cm
Since, ∆0AM is a right angled triangle.
We apply -
OA² = AM² + OM² ( Pythagoras theorem)
= 25² = 20² + 0M²
OM = √(25² - 20²)
OM = √(625 - 400)
OM = √225
OM = 15
Hence, the distance of the chord from centre is 15cm.
Hope it helps!
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