Question

Sam is standing at point A on the circular park and start moving on its boundary. After covering half of the circumference of the park, he stopped at point B. Point O is centre of the park. Which of the following is equal to $\angle AOB$?

• A. ${90}^o$
• B. ${270}^o$
• C. ${180}^o$
• D. ${360}^o$

Answer 1

The correct option is C ${180}^o$

Let us see the problem by the figure,

The boy started from position $A$ and reached position $B$ which is half of the circumference of the circular park.

here, line $AB$ is a straight line.

A full cycle is of ${360}^o$ so half cycle will be of ${180}^o$.

Angle between arms $OA\&OB$ is ${180}^o$.
Option $\left(c\right)$ is correct.