Question

What is the angle between the hands of a clock at $12$ o’clock?
A) ${0^ \circ }$
B) ${90^ \circ }$
C) ${120^ \circ }$
D) ${160^ \circ }$

Answer 1

Hint: In this problem, we have to find the angle between the hands of a clock at twelve o’clock. Normally the clock has three hands which are the hour hand, minute hand and second hand. At full rotation, a clock has a three hundred and sixty-degree angle. But in this problem, we have to find the angle at twelve o’clock.

Complete step-by-step solution:

In this figure, the thin hand is the minute hand and the thick hand denotes the hour hand.
In the figure, the clock shows the time twelve o’clock.
In this given problem we have to find the angle between the hands of the clock.
The whole clock has a three hundred and sixty-degree angle.
But at the time of twelve in the above-given figure the hands of a clock at twelve o’clock minutes hand and the hour hand as the same lines.
We can say that any one of the hands is a complete clock circle.
Therefore the angle between the hands of a clock at twelve o’clock is zero degrees.
Hence the solution for the given problem is ${0^ \circ }$
Hence the answer is Option A.
The explanation for option B:
Option B is ninety degrees. In the above figure, we show that the angle between the hands at twelve o'clock is zero degrees.
Therefore option B is not an answer.
The Explanation for option C:
Option C is a hundred and twenty degrees. Already we solve the given problem that the angle between the hands at twelve o'clock is zero degrees.
Therefore option C is not an answer.
The explanation for option D:
Option D is a hundred and sixty degrees. By the complete solution, zero degrees is the answer.
Therefore option D is not an answer.

Note: In the above problem understanding the angles and clocks is the important step to solving the problem. Angle is defined as the two rays formed with the sharing of the same endpoint. In the figure, we can see two rays with a common point.