
Convert 37 degrees to radian?
Answer
480.9k+ views
Hint: In this question we are asked to convert the given degree into radians, and this can be converted using the conversion formula i.e., radians, and substituting the number of degrees i.e. in this formula we will get the required converted radians.
Complete step-by-step solution:
Degrees and radians are ways of measuring angles. A radian is equal to the amount an angle would have to be open to capture an arc of the circle's circumference of equal length to the circle's radius. (360 degrees) is equal to radians.
Given degree is 37,
We have to convert the degree into the radians, by using the conversion formula.
We know that radians, then we can write 1 degree as, ,
Now using the formula we can convert 37 degrees into radians, here ,
By substituting the value of in the formula, we get,
,
By simplifying we get,
radians.
The radians form when we convert 37 degrees to radians is equal to .
Note: There is a chance that students can make mistake while solving these type of questions in taking formula for conversion of angle to radians as, radians, as it is a wrong formula a then we can write it as, radians. .
Degrees are more common in general: there are 360 degrees in a whole circle, 180 degrees in a half circle, and 90 degrees in a quarter of a circle. A radian is the amount an angle has to open such that the length of the section of the circle's circumference it captures is equal to the length of the radius.
Complete step-by-step solution:
Degrees and radians are ways of measuring angles. A radian is equal to the amount an angle would have to be open to capture an arc of the circle's circumference of equal length to the circle's radius.
Given degree is 37,
We have to convert the degree into the radians, by using the conversion formula.
We know that
Now using the formula
By substituting the value of
By simplifying we get,
Note: There is a chance that students can make mistake while solving these type of questions in taking formula for conversion of angle to radians as,
Degrees are more common in general: there are 360 degrees in a whole circle, 180 degrees in a half circle, and 90 degrees in a quarter of a circle. A radian is the amount an angle has to open such that the length of the section of the circle's circumference it captures is equal to the length of the radius.
Recently Updated Pages
Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Biology: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Trending doubts
What is the Full Form of ISI and RAW

Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Name 10 Living and Non living things class 9 biology CBSE

Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
