Distance of chord AB from the centre O of a circle is 6 cm. Length of the chord AB is 16 cm.
Find the length of a diameter of the same circle
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Answer:
20 cm
Step-by-step explanation:
Chord of circle = 16 cm
Distance of it from the centre = 6 cm
We draw a perpendicular line to chord.
We know that a perpendicular line drawn to chord, bisects (at point M). Let centre of circle be O & AB is diameter. AM = 8 cm
In right_angled triangle OMA, By Pythagoras Law
OA^2 = OM^2 + AM^2》OA^2 = 6^2 + 8^2
OA^2 = 36+64》OA^2 = 100》OA = 10 cm
Radius of circle is 10 cm.
Diameter of circle = 2×10 =20 cm
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