Anu studied Mathematics from 11pm to 2pm during her exams.Find the number of right angles formed from 11pm to 2pm in the clock.What is the angle measure in degrees from 11pm to 2pm?Find the fraction of clockwise revolution from 11pm to 2pm.

Let's break this problem down step by step.

### 1. Number of Right Angles from 11 PM to 2 PM:
To determine the number of right angles formed by the clock's hands, we need to analyze the movement of the minute and hour hands.

- **A clock forms right angles when the angle between the hour and minute hands is 90°**.
- The clock completes one full revolution (360°) in 12 hours, and two right angles are formed in every hour, except when the hands overlap (12:00, 6:00, etc.).

The time from **11 PM to 2 PM** is a span of **15 hours** (from 11 PM to 12 AM is 1 hour, and then from 12 AM to 2 PM is 14 hours). Each hour gives two right angles, so:

\[
\text{Number of right angles} = 15 \times 2 = 30
\]

So, **30 right angles** are formed from 11 PM to 2 PM.

### 2. Angle Measure in Degrees from 11 PM to 2 PM:
In 12 hours, the clock completes a full 360° revolution.

- Each hour corresponds to \(\frac{360^\circ}{12} = 30^\circ\).
- The time from **11 PM to 2 PM** is **15 hours**.

So, the total angle measure in degrees:

\[
\text{Angle measure} = 15 \times 30^\circ = 450^\circ
\]

But 450° is more than one full revolution (360°). After subtracting one full revolution (360°), we are left with:

\[
450^\circ - 360^\circ = 90^\circ
\]

Thus, the final angle measure is **90°**.

### 3. Fraction of Clockwise Revolution from 11 PM to 2 PM:
The total revolution is measured as a fraction of a full circle (360°).

- Since 15 hours corresponds to an angle of 450°, the fraction of the clockwise revolution is:

\[
\text{Fraction of revolution} = \frac{450^\circ}{360^\circ} = \frac{5}{4}
\]

So, the fraction of clockwise revolution is **\(\frac{5}{4}\)** or **1.25 revolutions**.

### Summary:
1. **Number of right angles** = 30
2. **Angle measure in degrees** = 90°
3. **Fraction of clockwise revolution** = \(\frac{5}{4}\)

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Would you like further details or clarifications on any of these?

Here are some related questions you might find useful:
1. How many right angles are formed between 2 specific times?
2. What is the angle formed at 3:15 on a clock?
3. How can we calculate the angle between clock hands at any time?
4. How many degrees does the minute hand move per minute?
5. How many degrees does the hour hand move per minute?

**Tip:** To find the angle between the clock's hands at any time, you can use the formula:  
\[
\theta = \left|30H - 5.5M\right|
\]
where \(H\) is the hour and \(M\) is the minute.

Anu studied Mathematics from 11pm to 2pm during her exams. Find the number of right angles formed from 11pm to 2pm in the clock. What is the angle measure in degrees from 11pm to 2pm? Find the fraction of clockwise revolution from 11pm to 2pm.

Learn how to calculate the number of right angles, the total angle measure in degrees, and the fraction of clockwise revolution from 11 PM to 2 PM on a clock. This step-by-step guide explores key geometry and time-based concepts. Suitable for students in Grades 6-8.

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