Question

the length of the tangent drawn from a point 8cm away from the centre of a circle of radius 6cm is :

??

ans -`2root7 cm

expain how.

Answer 1

given length of tangent L=8cm
radius of circle r=6cm
A l\
l \ 6cm
l__\
B 8cm C
fig.1
from fig.1
we see that the tangent and the radius can be drawn into a right triangle
Using pythaguras theorem
AC^2=AB^2 + BC^2
AB^2=64-36
AB=root 28 {LCM of 28=2x2x7 =2^2x7,so 2^2 get cancel with root and leave 7 as root 7}
AB=2root7
I hope you understand, if you don't, just text, maybe I can help you to simplify your calculation in other ways.