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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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Explanation:
As perpendicular from centre bisects the chord, Rightarrow CA=AD=20cm; ln(Delta) * O * A * D , O * D ^ 2 = O * A ^ 2 + A * D ^ 2 (Pythagoras thereom) Rightarrow OA^ 2 =OD^ 2 -AD^ 2; =25^ 2 -20^ 2; =625-400=22; Rightarrow OA=15cm OA is distance of chord from O.
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Step-by-step explanation:
Given :
Radius of a circle is 25 cm.
Distance of its chord from the centre is 4 cm.
To find :
Length of the chord.
Solution :
Finding the perpendicular :-
=> AB = √AO² - BO²
=> AB = √25² - 4²
=> AB = √625 - 16
=> AB = 24.67 cm
Finding the length of chord :-
>> Length of chord = 2(Perpendicular)
=> 2 × 24.67
=> 49.34 cm
- Hence, the length of chord of the circle is 49.34 cm.
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