a chord of length 10cm at a distance 12 cm from the centre of a circle find the radius
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Answer: 13 cms
Step-by-step explanation:
consider AB as the length of chord of the circle with centre 'O'
AB = 10cms
Divide it into equal halves with mid point as D, now
AD = 5cms
Given, OD =12cms
Join OA.
Apply Pythagoras theorem.
OA^2 = OD^2 + AD^2
OA^2 = (12)^2 + (5)^2
OA^2 = 144 + 25
OA^2 = 169
OA = 13cms
The circle is of the radius 13 cms
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