
Convert 1 radian into a degree minute and second?
Answer
407.7k+ views
Hint: We describe the relation between the degree and radians, two ways to express the angles. We find the relation that 180 degrees is equal to radian. We express the degree value of 1 radian. We use the concept of the unitary system. We also use multiplication for the relation of being equal to 60 minutes and 1 minute is equal to 60 seconds .
Complete step by step answer:
We need to find the relations between the degree and radians. There are two ways to express the angles. They are degrees and radians. The way to differentiate them is using the degree sign on the angle value.
If the angle is , then it means it’s radian and if it’s given , then that means degree.
The relation between these two units is that 180 degrees is equal to radian. The value of is the usual value where . (approx.)
Therefore, . We also know that is equal to 60 minutes and 1 minute is equal to 60 seconds . We can convert it into radian using the relation where 1 degree is equal to radian. This gives degree is equal to radian. We get that 1 radian is equal to .
. We now convert into minutes.
We now convert into seconds.
Therefore, 1 radian is equal to .
Note: 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.
Complete step by step answer:
We need to find the relations between the degree and radians. There are two ways to express the angles. They are degrees and radians. The way to differentiate them is using the degree sign on the angle value.
If the angle is
The relation between these two units is that 180 degrees is equal to
Therefore,
We now convert
Therefore, 1 radian is equal to
Note: 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.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the technique used to separate the components class 11 chemistry CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
