Question

4. What is the distance between two parallel tangents of a circle having radius 6.5 cm ? Justify your answer. 6.5​

Answer 1

Final Answer :9 cm  

1) We know :

Distance between any two parallel tangents in a circle is equal to measure of a Diameter .

Distance between any parallel tangents = 2*r=2*4.5=9 cm

This can be seen as since tangents are parallel and both touches the circle at one point .

Hence, we can say a length of Diameter will fulfill the perpendicular gap between them .

So, Distance between two parallel tangents will be twice of length of radius or Diameter only.

(¯´•._.• .. •._.•´¯)

Answer 2

⇒ O is the center of the circle.

⇒ l and m are two parallel tangents of the circle.

⇒ Radius of the circle =4.5cm

⇒ AB is distance between two parallel tangents.

⇒ AB=OA+OB=6.5cm+6.5cm

∴ AB=13 cm

∴ Distance between the parallel tangents l and m is 13 cm.