the radius of a circle is 5cm. the distance of the chord from the centre is 4cm . find the length of the chord
3cm
4cm
5cm
6cm
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In the given circle, radius OA = 5 cm: distance of the chord AB from the centre is 4 cm. Therefore, the length of the chord is 6 cm.
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Answer:
6 cm
Step-by-step explanation:
Radius = 5 cm
Distance Of CHord from The Centre= 4 cm
We Know That Radius Drawn From The Centre Makes An Angle Of 90 degree To The Chord
So By Pythagoras Theorem
radius Square = distance Of Chord square + length of Chord square
5 ^2 = 4 ^2 + length of Chord square
25= 16 + length Of chord ^2
25-16 = length Of chord ^2
9 = length of chord ^2
length of chord = √9
So,length of chord = 2 × 3 cm = 6 cm
Hope This Answer will Help you!!!!
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