Question

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​

Answer 1

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