Three girls Anjali, Sonia, Surjit are playing a game by standing on a circle of radius 8m and drawn in a park. Anjali throws a ball to Sonia, Sonia to Surjit, Surjit to Anjali. If the distance between Sonia, Surjit and Anjali, Sonia is 8m each, what is the distance between Anjali and Surjit.
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Let 3 distinct points A,B,C be on a circle with radius 8 cm and center o. Let AB = BC = 8cm. We have to calculate AC.
It can be seen that OB bisects AC. Let the point of intersection be E. Note that OAB is equilateral meaning its altitude AE is √3/2×8 = 4√3cm. Similarly, CE = 4√3 cm. This gives AC is 8√3 cm.
It can be seen that OB bisects AC. Let the point of intersection be E. Note that OAB is equilateral meaning its altitude AE is √3/2×8 = 4√3cm. Similarly, CE = 4√3 cm. This gives AC is 8√3 cm.
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