Question

15. Two-circles of equal radii pass through each other's centre.Show that the length of the arc cut off from any circle by theother is equal to one third the length of its circumference other's centre.​ Please draw the diagram.

Answer 1

Answer:

Step-by-step explanation:

As per shown in the diagram both circles are having radius and centers are P and Q

In the ΔPAQ

PA=QA=PQ=r

So ΔPAQ is a equilateral

So ∠APQ=60

Similarly ∠BPQ=60

So ∠APB =120°

NOw length of arc AQB=arc APB=120/360*2πr

  =2πr/3

Thus the length of common arcs are 1/3 rd of the circumference of the circle