Q-is-there-any-angle-in-a-circle-

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

Q . i s t h e r e a n y a n g l e i n a c i r c l e ?

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

T w o a n s w e r s c a n b e g i v e n . E a c h h a s i t s o w n r e a s o n i n g .

(i) T h e r e a r e i n f i n i t y n u m b e r o f a n g l e s .

C o n s i d e r a p o l y g o n o f n a n g l e s i n s c r i b e d i n a c i r c l e :

n \to\propto\Leftrightarrow p o l y g o n \to c i r c l e, w h i c h m e a n s A c i r c l e h a s \propto a n g l e s .

(i i) T h e r e i s n o a n g l e .

I f a n a n g l e i s d e f i n e d w i t h i t s a r m s straight, a s i n c o m m o n

g e o m e t r y a c i r c l e h a s 0 a n g l e s .