SSC
Sample Paper
SSC CHSL (10+2) Sample Test Paper-3
question_answer
A regular hexagon is inscribed in a circle with centre O. Then the angle subtended by each side of the square at the centre O is:
A)\[{{80}^{o}}\]
B)\[{{90}^{o}}\]
C)\[{{60}^{o}}\]
D)\[{{45}^{o}}\]
Correct Answer:
C
Solution :
A regular hexagon has 6 sides of equal length. \[\therefore \]Each side subtends the same angle at the centre. \[\therefore \] \[6{{x}^{o}}={{360}^{o}}\] \[{{x}^{o}}=\frac{{{360}^{o}}}{6}={{60}^{o}}\Rightarrow x={{60}^{o}}\]