Table of Contents

- 1 What measure of angle is swept by the minute hand?
- 2 What is the measure of the angle swept out by the second hand if it starts on the 3 and continues for 3 minutes and 20 seconds?
- 3 How do you find the angle between hours and minutes?
- 4 When it is 10 30 What kind of angle is formed by the hands of the clock?
- 5 What is the measure of the angle between the hour and minute?
- 6 How do you find radians with radius and arc length?

## What measure of angle is swept by the minute hand?

A clock is a circle, and a circle always contains 360 degrees. Since there are 60 minutes on a clock, each minute mark is 6 degrees. You can also check the clock angle formula for easy calculations. Therefore, the total angle that a minute hand will sweep in between 6:10 to 7:00 is 300 degrees.

### What is the measure of the angle swept out by the second hand if it starts on the 3 and continues for 3 minutes and 20 seconds?

For the 3 minutes that would be 3 times around back to the 3 or 3×360° = 1080°.

**What is the radian measure of the angle formed by the hands of a clock at 1 00pm?**

Answer to the earlier exercise:

Time | 1:00 | 10:30 |
---|---|---|

Angle | 30° | 135° |

**What is the angle covered by the minute hand in 27 minutes?**

Step-by-step explanation: For the minute hand, this is 27 minutes from the on-the-hour angle of zero degrees, so the angle is (27 minutes)*((360 degrees)/(60 minutes)) = 162 degrees.

## How do you find the angle between hours and minutes?

First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

### When it is 10 30 What kind of angle is formed by the hands of the clock?

obtuse angle

Hence our required angle between the hands of a clock as 10:30 is 135∘. Since 135∘ is greater than 90∘ so it is an obtuse angle.

**How do you find the angle between 90 degrees and Radian?**

Solution: Given, 90 degrees is the angle. Angle in radian = Angle in degree x (π/180) = 90 x (π/180) = π/2. Hence, 90 degrees is equal to π/2 in radian.

**How do you find the angle between two hands on a clock?**

By dividing the clock into pieces, we can determine that the angle between the two hands is. Within a clock, just like any circle, there are 360 total degrees. Within an clock, there are 60 total minutes. Each minute that passes, the minute hand advances 6 degrees.

## What is the measure of the angle between the hour and minute?

It is 4 o’clock. What is the measure of the angle formed between the hour hand and the minute hand? At four o’clock the minute hand is on the 12 and the hour hand is on the 4. The angle formed is 4/12 of the total number of degrees in a circle, 360.

### How do you find radians with radius and arc length?

The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.