Question

Equilateral triangle ABC has side length 3, with vertices B and C on a circle of radius 3 as shown. The triangle is then rotated clockwise inside the circle: first about C until A reaches the circle, and then about A until B reaches the circles, and so on. Eventually the triangle returns to its original positions and stops. What is the total distance travelled by the point B?

Answer 1

You didnt send the figure!!

Send it and repost!

Answer 2

Answer:

I used GeoGebra platform. Clockwise 60 degree rotation makes the point fall on circle.

Step-by-step explanation:

Please see the image for the process and understanding. Let me know if I'm incorrect or correct. I tried my best to label and solve it.

Total distance travelled by B is 12 units (i.e. 3 + 3 + 3 + 3).