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Consider a circle of radius 4 cm such that  A1, A2, A3, A4, A5, A6 are 6 points in the given order on the circle. The length of the arc AxAx + 1 is 1/3 times the length of the arc Ax + 1Ax + 2. If the circumference of the circle is 6 times the sum of the lengths of the 5 arcs then what is the angle subtended by the arc A2A3 at the center of the circle? 

Consider a circle of radius 4 cm such that  A1, A2, A3, A4, A5, A6 are 6 points in the given order on the circle. The length of the arc AxAx + 1 is 1/3 times the length of the arc Ax + 1Ax + 2. If the circumference of the circle is 6 times the sum of the lengths of the 5 arcs then what is the angle subtended by the arc A2A3 at the center of the circle?  Correct Answer π/121

Calculation:

Make a diagram according to the given conditions.

Hint

Determine the relationship between the arc length and the angle subtended by the arc.

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