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Question Number 1387 by navajyoti.tamuli.tamuli@gmail. last updated on 27/Jul/15

Q. is there any angle in a circle?

Q.isthereanyangleinacircle?

Commented by Rasheed Soomro last updated on 28/Jul/15

Two answers can be given.Each has  its  own reasoning.  (i) There are infinity number of angles.  Consider a polygon of n angles inscribed in a circle:  n→∝⇔polygon→circle ,which means A circle has ∝ angles.  (ii) There is no angle.  If an angle is defined with its arms straight,as in common  geometry a circle has 0 angles.

Twoanswerscanbegiven.Eachhasitsownreasoning.(i)Thereareinfinitynumberofangles.Considerapolygonofnanglesinscribedinacircle:n→∝⇔polygoncircle,whichmeansAcirclehasangles.(ii)Thereisnoangle.Ifanangleisdefinedwithitsarmsstraight,asincommongeometryacirclehas0angles.

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