distance of chord a b from the centre of circle is 5 cm length of Chord ab is 24 cm find the diameter of circle
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Answer:
120cm
Step-by-step explanation:
by Pythagoras theorem
ob²=nb²×on²
= 144× 25
= 3600
= 60
so, radius of circle is 60
therefore, diameter.....120
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Given:
The distance of the cord ab from the centre of the circle = 5 cm
The length of the cord = 24 cm
To find:
The diameter of the circle.
Solution:
The radius of the circle, the chord and the distance of the chord from the centre will form a right-angled triangle and hence we can use Pythagoras theorem to solve this problem.
Thus, the radius of the circle will be:
12² + 5² = radius²
144 + 25 = radius²
radius² = 169
radius = 13 cm
Thus, the diameter of the circle will be:
= radius× 2
= 13 cm ×2
= 26 cm
Thus, the diameter of the circle will be 26 cm.
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