SSC
Sample Paper
SSC CHSL (10+2) Sample Test Paper-3
question_answer
A square ABCD is inscribed in a circle with centre 0. Then the angle subtended by each side of the square at the centre O is
A)\[{{120}^{o}}\]
B)\[{{180}^{o}}\]
C)\[{{45}^{o}}\]
D) \[{{90}^{o}}\]
Correct Answer:
D
Solution :
A square has four equal sides. \[\therefore \]Each side subtends the same angle at the centre\[O\]. Let angle subtended be\[{{x}^{o}}\]. So, \[4{{x}^{o}}={{360}^{o}}\] \[\Rightarrow \] \[{{x}^{o}}=\frac{{{360}^{o}}}{4}={{90}^{o}}\]