w Leangth
tangent segment
drawn from
point which is at
distance
from the conter of
circle is 12 cm, find the diameter
the circle.
of
Answers
Answered by
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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 ,
\begin{gathered}OA=\sqrt{AB^{2}-OB^{2}} \\ \\ = > \sqrt{12.5^{2}-12^{2}} \\ \\ = > \sqrt{12.25} = 3.5 \:\:units\end{gathered}
OA=
AB
2
−OB
2
=>
12.5
2
−12
2
=>
12.25
=3.5units
Hence,Diameter =2*3.5=7 cm
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