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Step-by-step explanation:
length of the tangent segment is 12 cm
distance of the origin point of the tangent from the centre is 12.5 cm .
tangent at any point on the circle is perpendicular to the radius of the circle .
therefore,
12.5 square - 12 square = 12.25 ...(by Pythagoras theorem)
√12.25 = 3.5
therefore radius is 3.5 cm and diameter is 3.5×2=7 cm
Answered by
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Answer:
Here is ur answer
Step-by-step explanation:
Final Answer : 7 cm
Steps:
1) Let external point be B, & OA be radius of circle.
Given:
OB = 12.5cm
AB = 12cm
In right traiangle , ΔAOB, by Pythagoras Theorem ,
Hence,Diameter =2*3.5=7 cm
Therefore, diameter of the circle is 7cm
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