Introduction :
When two rays intersect at a point they form an angle. The point at which they intersect is known as the vertex of the angle. The amount of rotation needed to rotate one ray about the vertex to coincide with the other ray is known as the magnitude or measure of an angle. The magnitude or measure of an angle is also equal to ratio of arc length to the length of the radius of the circle.
Explanation on three Ways to Measure an Angle:
What are the Three ways to measure an angle?
There are many ways to measure an angle. One way to measure angle is using degrees. The degree is further divided using decimal numbers and hence can express angles to any precision like hundredths, thousandths etc. Ex. 28.456 degrees represents 28 degrees and 456 thousandths. In this systme the degrees can also be subdivided into 60 parts. Each 1/60 of a degree is known as minute. The minute is again subdivided into 60 parts. Each 1/60 of a minute is known as second. Ex. 43 degrees 24 minutes 10 seconds. In this format the angle is usually written as 43° 24' 10''.
The second way to measure an angle is using radians. 1 radian is equal to the angle when arc length is equal to the radius of the circle. 1 radian is equal to 180ยบ/∏ degrees or 57.296 degrees.
The third way to measure an angle is using gradien, gon or grad. In this system a circle is divided into 400 parts. Each part is equivalent to 1 grad.
Stuck on any of these topics what are linear equations, live math help try out some best math website like mathsisfun and math dot com.
Three Ways to Measure an Angle: - Conversion from One Form to Another:
Lets see how one form is converted to the other forsm and viceversa - Three ways to measure an angle:
1) Convert Degree to radians and viceversa :
Degree to Radians: To convert angle in degrees to radians multipy the angle by `(pi)/(180 ^0)` .
Example: Convert 60 degrees to radians.
60° * `(pi)/(180 ^0)` = `(pi)/(3)` radians
Radians to Degrees: To convert angle in radians to degrees multiply the angle by `(180)/(Pi)`
Example: Convert `(pi)/(2)` radian to degrees
`(pi)/(2)` radian * `(180)/(Pi)` = 90°
2) Convert degree to Grad and viceversa :
Degree to Grads: To convert angle in degrees to grads multiply the angle by `(10)/(9)` .
Example: Convert 270 degrees to grads
270° * `(10)/(9)` = 300 grads
Grads to degrees: To convert angle in grads to degrees multiply the angle by `(9)/(10)`
Example: Convert 200 grads to degrees
200 * `(9)/(10)` = 180°
Convert Radians to Grad and viceversa :-
Radians to Grads: To convert angle in radians to grads multipy the angle by `(200)/(pi)`
Example: Convert `(pi)/(4)` radians to grads.
`(pi)/(4)` * `(200)/(pi)` = 50 grads
Grads to Radians: To convert angle in grads to radian multipy the angle by `(pi)/(200)`
Example: Convert 400 grads to radian
400 * `(pi)/(200)` = 2∏ radians
When two rays intersect at a point they form an angle. The point at which they intersect is known as the vertex of the angle. The amount of rotation needed to rotate one ray about the vertex to coincide with the other ray is known as the magnitude or measure of an angle. The magnitude or measure of an angle is also equal to ratio of arc length to the length of the radius of the circle.
Explanation on three Ways to Measure an Angle:
What are the Three ways to measure an angle?
There are many ways to measure an angle. One way to measure angle is using degrees. The degree is further divided using decimal numbers and hence can express angles to any precision like hundredths, thousandths etc. Ex. 28.456 degrees represents 28 degrees and 456 thousandths. In this systme the degrees can also be subdivided into 60 parts. Each 1/60 of a degree is known as minute. The minute is again subdivided into 60 parts. Each 1/60 of a minute is known as second. Ex. 43 degrees 24 minutes 10 seconds. In this format the angle is usually written as 43° 24' 10''.
The second way to measure an angle is using radians. 1 radian is equal to the angle when arc length is equal to the radius of the circle. 1 radian is equal to 180ยบ/∏ degrees or 57.296 degrees.
The third way to measure an angle is using gradien, gon or grad. In this system a circle is divided into 400 parts. Each part is equivalent to 1 grad.
Stuck on any of these topics what are linear equations, live math help try out some best math website like mathsisfun and math dot com.
Three Ways to Measure an Angle: - Conversion from One Form to Another:
Lets see how one form is converted to the other forsm and viceversa - Three ways to measure an angle:
1) Convert Degree to radians and viceversa :
Degree to Radians: To convert angle in degrees to radians multipy the angle by `(pi)/(180 ^0)` .
Example: Convert 60 degrees to radians.
60° * `(pi)/(180 ^0)` = `(pi)/(3)` radians
Radians to Degrees: To convert angle in radians to degrees multiply the angle by `(180)/(Pi)`
Example: Convert `(pi)/(2)` radian to degrees
`(pi)/(2)` radian * `(180)/(Pi)` = 90°
2) Convert degree to Grad and viceversa :
Degree to Grads: To convert angle in degrees to grads multiply the angle by `(10)/(9)` .
Example: Convert 270 degrees to grads
270° * `(10)/(9)` = 300 grads
Grads to degrees: To convert angle in grads to degrees multiply the angle by `(9)/(10)`
Example: Convert 200 grads to degrees
200 * `(9)/(10)` = 180°
Convert Radians to Grad and viceversa :-
Radians to Grads: To convert angle in radians to grads multipy the angle by `(200)/(pi)`
Example: Convert `(pi)/(4)` radians to grads.
`(pi)/(4)` * `(200)/(pi)` = 50 grads
Grads to Radians: To convert angle in grads to radian multipy the angle by `(pi)/(200)`
Example: Convert 400 grads to radian
400 * `(pi)/(200)` = 2∏ radians
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