Question

What is the angle made by hands of clock at 11 O' clock?

• A. $15^\circ$
• B. $22\frac{1}{2}^\circ$
• C. $30^\circ$
• D. $36^\circ$

Hint:

To quickly find the angle at any exact hour $H$ (where $H \le 6$), multiply the hour value by 30.
For hours greater than 6, subtract $H$ from 12 and multiply the result by 30: $(12 - 11) \times 30 = 30^\circ$.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The question asks for the angle formed between the hour hand and the minute hand of an analog clock at exactly 11:00.

Step 2: Key Formula or Approach:
A circular clock face is divided into $12$ major hours representing a total of $360^\circ$.
Each hour division represents:
\[ \text{Angle per hour division} = \frac{360^\circ}{12} = 30^\circ \]

Step 3: Detailed Explanation:
Let us analyze the position of the clock hands at 11:00:

• At exactly 11:00, the minute hand points directly at the $12$ mark.

• The hour hand points directly at the $11$ mark.

• The separation between the $11$ mark and the $12$ mark is exactly $1$ hour division.

• Therefore, the angle between the two hands is equal to the value of $1$ hour division:
\[ \text{Angle} = 1 \times 30^\circ = 30^\circ \]

Step 4: Final Answer:
The angle made by the hands of the clock at 11 O'clock is $30^\circ$, which corresponds to option (C).