Introduction to angles measured in degrees and radians:
The angles can be measured in the degrees. A degree is the one which is the measure angles. The angles are measured in degrees and the symbol of degree is a small circle at the top side of the variables or the numbers. The degrees are derived from the parts of the circle. The radians are nothing but the `180/pi` which is approximately given as 57.2958.
About Angles Measured in Degrees and Radians:
Now we see about the angles measured in degrees and radians. The angles are measured in degrees and it can be converted to radians also.
The angles can be measured by using the protractor.
In protractor, there is a point marked in that where a line is drawn in that point.
Just place the protractor over the image where the angles to be measured in degrees.
Then, with the help of the pencil point the degree where the line coincides with the line in the protractor.
Thus, the degrees can be measured. From the value of degrees the radians can be determined with the help of multiplying the degree values or with the number 57.2958 gives the resultant value in radians.
Problems for Angles Measured in Degrees and Radians:
Now we are going to see about the angles measured in degrees and in radians.
Example 1:
Find the measurement of degree and radians for the given supplementary angle is 95º degrees.
Solution:
The supplementary angles will be up to 180 degrees and can be given as follows,
x + 95º = 180º
Now we take the 95 degree to the other side,
x = 180º - 95º
Then, the supplementary angle is given as,
x = 85º
The supplementary angle of 95º is 85º.
The degree can be changed in radians as follows,
Radians = 85 × `(pi/180)`
Radians = `(85 * 3.14)/180`
Radians = 1.48
Example 2:
Find the measuring of unknown angle x where the angle R is 67 degrees.
Solution:
Now we calculate the acute angle as follows,
The acute angle can be determined and given as follows,
67 + R = 90º
67 + R = 90º
R = 90º - 67º
R = 23º
It can be given in the form of radians as given as follows,
Radians = `(23 * 3.14)/180`
Radians = 0.401
The angles can be measured in the degrees. A degree is the one which is the measure angles. The angles are measured in degrees and the symbol of degree is a small circle at the top side of the variables or the numbers. The degrees are derived from the parts of the circle. The radians are nothing but the `180/pi` which is approximately given as 57.2958.
About Angles Measured in Degrees and Radians:
Now we see about the angles measured in degrees and radians. The angles are measured in degrees and it can be converted to radians also.
The angles can be measured by using the protractor.
In protractor, there is a point marked in that where a line is drawn in that point.
Just place the protractor over the image where the angles to be measured in degrees.
Then, with the help of the pencil point the degree where the line coincides with the line in the protractor.
Thus, the degrees can be measured. From the value of degrees the radians can be determined with the help of multiplying the degree values or with the number 57.2958 gives the resultant value in radians.
Problems for Angles Measured in Degrees and Radians:
Now we are going to see about the angles measured in degrees and in radians.
Example 1:
Find the measurement of degree and radians for the given supplementary angle is 95º degrees.
Solution:
The supplementary angles will be up to 180 degrees and can be given as follows,
x + 95º = 180º
Now we take the 95 degree to the other side,
x = 180º - 95º
Then, the supplementary angle is given as,
x = 85º
The supplementary angle of 95º is 85º.
The degree can be changed in radians as follows,
Radians = 85 × `(pi/180)`
Radians = `(85 * 3.14)/180`
Radians = 1.48
Example 2:
Find the measuring of unknown angle x where the angle R is 67 degrees.
Solution:
Now we calculate the acute angle as follows,
The acute angle can be determined and given as follows,
67 + R = 90º
67 + R = 90º
R = 90º - 67º
R = 23º
It can be given in the form of radians as given as follows,
Radians = `(23 * 3.14)/180`
Radians = 0.401
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