The radius of circlue is 25 cm and distance of chord from centre is 7 cm find leangth
of chord
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Given :
- Radius of Circle = 25cm
- Distance of Chord from the centre = 7cm
To Find :
- The Length of the Chord
Solution :
Let AB the Chord
OB = OA = 25cm
OM = OM = 7cm
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Applying Pythagoras Theorem :
⟶ (OB)² = (OM)² + (MB)²
⟶ (MB)² = (OB)² - (OM)²
⟶ (MB)² = (25)² - (7)²
⟶ (MB)² = 625 - 49
⟶ (MB)² = 576
⟶ MB = √576
⟶ MB = 24cm
⠀
Now,
Total Length of the Chord will be given by MB + AM = 24 + 24 = 48cm
⠀
Thus, Total Length of the Chord (AB) is 48cm
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Note :
- Refer the Attachment for the Figure.
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