Question

At 9 o’clock, the angle formed between the hands of a clock (in clockwise direction) is a:

Answer 1

Hint: There are many different types of angles in geometrical figures. First of all, we define them individually.
Acute angle: An angle whose measure is less than 90 degrees.
Right angle: An angle whose measure is equal to 90 degrees.
Obtuse angle: An angle whose measure is greater than 90 degrees but less than 180 degrees. Thus, it is between 90 degrees and 180 degrees.
Straight angle: An angle whose measure is 180 degrees. Thus, a straight angle looks like a straight line.
Reflex angle: An angle whose measure is greater than 180 degrees but less than 360 degrees.

Complete step-by-step answer:
Now, first we will show the condition diagrammatically for better understanding. According to the question, we are given that the time in the wall clock is 9 o’clock. We are required to find out the type of angle made by the hands of the clock in the clockwise direction. Clockwise direction can be explained as the movement of a body from left to right position along an arc of a circle. Now, proceeding to our problem,

The angle made by the hands of the clock is 270 degrees in clockwise direction which is more than ${{180}^{\circ }}$ and less than ${{360}^{\circ }}$.
Thus, at 9 o’clock, the angle formed between the hands of the clock is a reflex angle.

Note: The key step for solving this problem is the knowledge of various types of angles involved in a geometrical figure. To get a better clarity, we draw the diagram of the given condition. From the diagram it is clear that the angle formed by the hands of the clock is reflex angle.