Table of Contents

## What is the Coterminal angle of 5pi 2?

Trigonometry Examples The resulting angle of π2 π 2 is positive, less than 2π 2 π , and coterminal with 5π2 5 π 2 . Since π2 is in the first quadrant, the reference angle is π2 .

**How many degrees is 5pi?**

150 degrees

### What angle is 5pi 6?

150 degree

**What is 270 degrees in radians in terms of pi?**

Therefore, the 270 degrees can be written as 3π2 radians.

## What is 5 pi divided by 6 in degrees?

2 Answers By Expert Tutors The most common conversion factor from radians to degrees is (180/∏); then we have to multiply (5∏/6) by this factor, and we obtain 150 degrees.

**How many degrees is 7 π 6 radians?**

210°

### What is a 120 degree angle called?

Obtuse Angle Measure = (180 – acute angle measure) In the picture above, line segment DO intersects line segment OQ at point O and forms an angle DOQ measuring 120°. Thus, it is an obtuse angle.

**What is 240 degrees in radians in terms of pi?**

1 Answer. Manikandan S. 2400=3π2.

## How many radians is 360 degrees in terms of pi?

Radians and Degrees

Degrees | Radians (exact) | Radians (approx) |
---|---|---|

90° | π/2 | 1.571 |

180° | π | 3.142 |

270° | 3π/2 | 4.712 |

360° | 2π | 6.283 |

**Why is 360 degrees 2 pi radians?**

It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π ≈ degrees.

### Is PI 360 degrees?

A circle has 360 degrees or 2pi radians — going all the way around is 2 * pi * r / r. So a radian is about 360 /(2 * pi) or 57.3 degrees.

**Why are there 360 degrees in a circle?**

Why Is A Full Circle 360 Degrees, Instead Of Something More Convenient, Like 100? A full circle is 360 degrees because of the Babylonian’s usage of the sexagesimal system, number of days in a year and also because 360 is highly composite.

## How do you convert degrees to radians examples?

To convert degrees to radians, we multiply the given angle (in degrees) by π/180….

- 0° x π/180. = 0 Rad.
- 30° x π/180. = π/6. = 0.5 Rad.
- 45° x π/180. = π/4. = 0.785 Rad.
- 60° x π/180. = π/3. = 1.047 Rad.
- 90° x π/180. = π/2. = 1.571Rad.
- 120° x π/180. = 2π/3. = 2.094 Rad.
- 150° x π/180. = 5π/6. = 2.618 Rad.
- 180° x π/180. = π = 3.14 Rad.

**What is the number of degrees in an angle whose measure is 2 radians?**

, Sal says that 2pi radians is 360 degrees. When you do basic geometry, 2pi radius (radii) is 360 degrees.

### What is the degree measure of 2?

Since an angle of 2 has degree measure 360° it follows that an angle of 1 radian has degree measure (180/ )°.

**How many degrees is pi 6 radians?**

Table of angles

Degrees | Radians | Binary Radians ( brad ) |
---|---|---|

30° | Pi / 6 | 5461 |

36° | Pi / 5 | 6554 |

45° | Pi / 4 | 8192 |

57.296° | 1 | 10430 |