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the length of the entire circumference divided by the radius or 2pi , and we know that a circle is 360 degrees therefore 2pi=360

How many radians in 180 degrees?

Since pi=180 there are approximately 3.14 radians in 180 degrees

There are approximately 57.3 degrees in 1 radian

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What is a radian?

The standard unit of angular measurement is called the radian. (Often used in subjects in mathematics). The equation reasons that the length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it traverses. One radian’s value in degrees is slightly below 57.3 so when the arc length is equal to the radius, the expansion is at 180/π.

Why does 2(pi) = 360 degrees? And how many radians in 180 degrees?

2(pi) is equal to 360 degrees because the value in radians of an entire circle (the entire 360 of it) is equivalent to the length of the whole circumference divided by the radius. This relationship is expressed as 2πr/r or/and 2π. Therefore, 2π radians is equal to 360 degrees,also meaning that 180 degrees is equal to π in radians. And vice verse: π radian (1 radian) is equal to 180/π degrees.

-How many degrees in 1 radian?

Because 2π radians is equal to 360 degrees,also meaning that 180 degrees is equal to π in radians. The opposite is also correct: π radian (1 radian) is equal to 180/π degrees.

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What is a radian?

A unit to measure angles

-Why does 2(pi) = 360 degrees?

magnitude in radians of one complete revolution

-How many radians in 180 degrees?

3.14159

-How many degrees in 1 radian?

57.2958

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-What is a radian?
A radian is a scalar quantity that measures the angle limited to an arc whose length is equal to the radius of the circumference. It is another way of measuring angles, widely used in trigonometry, analytic geometry and calculus.

-Why does 2(pi) = 360 degrees?
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 2πradians is equal to 360 degrees, meaning that one radian is equal to 180/πdegrees.

-How many radians in 180 degrees?
There are 3.14159 radians in 180 degrees

-How many degrees in 1 radian?
57.295 degrees

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A radian is a way of measuring angles.
There are 2pi radians in 360 degreed because the formula of the circumference of a circle is 2(pi) times the radius of the circle. In 180 degrees there is 1 pi because the formula of the circumference has to be divided by two. the number of degrees in a radian is 57.296.

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how many degrees in a radian - Google Search

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How do I convert between degrees and radians? Try our calculator, which shows all the ... Radian is a measure of an angle, indicating the relationship between the arc length and the radius of a circle: Radians=frac{arc ... We need to find out, how many full rotations in a circle you can make.

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- A radian is the angle made by taking the radius and wrapping it round the circle.
-  In 180 degrees there is one pi
-  360 degrees = 2pi, because
pi = 180, what means that 360=2pi

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What is a radian?
It's a unit of measure for angles. Length of an arc = radius of a circle
Why does 2(pi) = 360 degrees?
Where π is 180, then 2π is 360.
How many radians in 180 degrees?
About 3.14159
How many degrees in 1 radian?
About 57.2958

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What is a radian?  It is a pure measure based on the radius of the circle.  It is the angle made when we take the radius and wrap it around the circle.

Why does 2(pi) = 360 degrees?  Because half of a circle is equivalent to pi (180 degrees), hence the entire circle is 360 degrees which equals 2(pi).

How many radians in 180 degrees? 3.14159 (pi)

How many degrees in one radian? Approximately 57.2958

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What is a radian?
- A radian is the ratio between the length of an arc and its radius in a circle
- Radian= (arc length)/(given radius)

Why does 2(pi)= 360 degrees?
-  The circumference 'C' of a circle with radius 'r' is C = 2πr.
- If r = 1, as we see in the unit circle, then C = 2π.

How many radians in 180 degrees?
- 180 is half of 360
- If there are 2π in 360 degrees, then the half of that is π

How many degrees in 1 radian?
- One radian is equivalent to 57.2958...°
- π radians = 180°
So: 1 radian = 180°/π = 57.2958...°

Sources:
http://www.purplemath.com/modules/radians.htm
https://www.mathsisfun.com/geometry/radians.html
http://www.slideshare.net/evypace/radians-9546576

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What is a radian?
A radian is the measurement of an angle inside a circle, which arc is equal to the radius of the circle.

Why does 2π = 360 degrees ?
π = 180 degrees, therefore:
2π = 360 degrees

How many radians in 180 degrees?
Approximately 3.14159 (π)

How many degrees in 1 radian?
Approximately 57.296

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What is a radian?
A radian is a more precise unit used to measure angles. It is the radius set over the circle.

Why does 2(π)=360 degrees?
2(π) = 360 degrees because π=180 degrees.

How many radians in 180 degrees?
Around 3.14159 radians in 180 degrees.

How many degrees in 1 radian?
Around 57.2958 degrees in a radian.

# data[].attributes.body
What is a radian: A measurement for a sector of a circle whose arc is = the radius of the circle.

Why does 2pi = 360 degrees:
In radians: Pi is the ratio  of a circle's circumference to it's diameter and is equal to 3.14... (circumference/diameter=pi). If the arc length of a radian is equal to the radius, then the length of the radius is equal to the distance of circumference used by 1 radian. Therefore we can look at the equation for the circumference of a circle. Circumference= (2) x (pi) x (radius) to know how many times the distance of the arc (the radius) fits into the circumference we divide circumference by radius. So C/R=2(pi). This means that the amount of radians that fit into the circumference of a circle is equal to 2 pi. So 2pi= total amount of radians in complete circle.
In degrees: 360 degrees is the degree of a circle because humans noticed that the constellations completed a full rotation in around 360 days (we rotated around the sun). So 360= total amount of degrees in complete circle.

Therefore: 360 degrees=2pi

How many radians in 180 degrees:
There are about 3.14... radians in 180 degrees.

How many degrees in 1 radian:
There are about 57.5 degrees in 1 radian.

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Radian
--> A radian is a unit used to measure an angle when the angle at the centre of the circle has an arc  with the same length as the radius.

2π = 360°
--> A whole circle consists of two halves, which equal π or 180° individually.

How many radians in 180°?
--> There are ≈ 3.1415 (or π) radians in 180°

How many degrees in a radian?
--> There are 57.2958 (≈ 57.3) degrees in a radian.

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-What is a radian?

It  is a unit of measure specifically to angles. A radian is when its equivalent to an angle in the center of the circle, where the arc has the exact length as the radius.

-Why does 2(pi) = 360 degrees?

This is because half of a circle (180) degrees is equivalent to  π. Therefore, an entire circle has to be equal to 2π. (360) degrees.

-How many radians in 180 degrees?

There is approximately 3.14159 rad (radians) in 180 degrees.

-How many degrees in 1 radian?

There is approximately 57.2958 degrees in 1 radian.

Work Cited List:

https://www.mathsisfun.com/geometry/radians.html

https://simple.wikipedia.org/wiki/Radian

https://www.khanacademy.org/math/trigonometry/unit-circle-trig-func/intro-to-radians-trig/v/introduction-to-radians

^ A video that might help you further understand: radians.

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A radian is a pure measure based on the radius of the circle.
2π=360º because π=180º, therefore, 1 radian (about 57.2958º) times 2 equals 360º

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A radian is...
- the angle made when the radius is wrapped around the circle.
2(pi) = 360 degrees because...
-  1 pi = 180, times 2 = 360
- if one multiplies 1 radian (57.2958) by 2pi, it equals 360

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-What is a radian?

A radian is the measure of the radius when laid out over the circle

-Why does 2(pi) = 360 degrees?

Because Pi = 180 degrees

-How many radians in 180 degrees?

3.14 (Pi)

-How many degrees in 1 radian?

57.3

# data[].attributes.body
What is a radian: A unit measurement of an angle which is equal to an angle at the center of a circle whose arc is equal to the length of the radius.

Why does 2pi equal 360 degrees: this is the case because 1 radian, which is equal to 57.2958 if multiplied by 2pi is equal to 360 degrees

How many radians in 180 degrees: pi radians

How many degrees in 1 radian: 57.2958

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A radian is the measurement of an angle from the center of a circle. The arc of the sector between the two points of the  angle is equal to the radius.
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180 degrees is 3.14/ pi radians

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One radian is 57.29 degrees

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2(pi) is equal to 360 because 180 degrees is equal to pi, therefore 180 x 2 = 2(pi)

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180/(pi) = 57.2958 degrees

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3.14159 radians = (pi

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Because, you can imagine that (pi) is 180. Which makes it 2(180) = 360

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A Radian is the unit of an angle, it's equal to an angle at the center of a circle whose arc is equal in length to the radius