SOLUTION: In my question there is a diagram which shows a circle with a circumference of 1cm being rolled around an equilateral triangle with sides of length 1cm. The circle is positioned

Algebra ->  Triangles -> SOLUTION: In my question there is a diagram which shows a circle with a circumference of 1cm being rolled around an equilateral triangle with sides of length 1cm. The circle is positioned      Log On


   



Question 638291: In my question there is a diagram which shows a circle with a circumference of 1cm being rolled around an equilateral triangle with sides of length 1cm.
The circle is positioned haalfway between the top and bottom of one side of the triangle
How many COMPLETE TURNS does the circle make as it rolls around the triangle ( without slipping) to its original starting position. I know that the answer is 4, please could someone explain in simple terms why it is 4.
Thankyou

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
an equilateral triangle with sides of length 1cm has a perimeter of 3+cm
if the circle rolls along a straight line of length 3+cm (without slipping), it would need to make three complete turns
the perimeter of the triangle also makes another turn (sum of external angles = 360), so the circle will need to make 4 turns in all