Question

find out the distance between two parallel tangents of a circle which has a radius of 10.5 cm.​

Answer 1

Answer:

20cm

Step-by-step explanation:

O is the center of circle and tangents from point A and B are parallel 

We know that the line joining point of contacts of two parallel tangents (here AB) passes through the center

And as a line from the center is perpendicular to tangent , hence that line (AB) will be the distance between parallel tangents 

AB passes through center O hence AB is also the diameter of the circle 

Hence the distance between the two parallel tangents will be the diameter of the circle 

Radius is given 10cm 

Hence diameter of circle = 2× radius 

Hence AB = 2×10 

⇒ AB = 20cm 

Hence distance between parallel tangents is 20cm