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Tagged: Circle, Difficulty: Easy, Geometry
The sides of triangles PQR touch or pass the center points of each of the six circles. Each of the circles has the same circumference of 12π. What is the perimeter of triangle PQR?
A. 16
B. 36
C. 48
D. 64
E. 72
Correct Answer – E – (click and drag your mouse to see the answer)
Circumference = 2πr=12π. —–>. r=6
Diameter= 12
Now the diagram has 3 circles with a diameter of 12 and 3 circles with twice radius(2*6). So all circles have a diameter of 12 each.
Hence 12*6=72
Answer E=72