Find the length of AD if AB=8cm and OD perpendicular to AB where o is the centre
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Answer:
AB = 8cm
AB= 2AD (because if the centre of circle ⭕ forms perpendicular on the chord, it bisects the chord)
AD=8÷2=4cm
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The length AD = 4 cm
Step-by-step explanation:
Given:
AB = 8cm
OD ⊥ AB
O is the centre of the circle
To find out:
The length AD
Solution:
AB is the chord of the circle, O is the centre and OD is perpendicular to AB
From theorem we know that
"A perpendicular drawn from the centre of the circle on any chord of the circle, bisects it"
Thus,
OD bisects AB
Therefore,
AD = DB = AB/2
or, AD = 8/2 = 4 cm
Hope this answer is helpful.
Know More:
Q: In the given figure,if OA=5cm,AB=8cm and OD is perpendicular to AB then .Find CD .
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