Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

What is 5π6 radians in degrees?

Answer
VerifiedVerified
447.6k+ views
like imagedislike image
Hint: Here, this question belongs to the conversion topic that is we have to convert the unit from one form to another. Here we have to convert the unit radians to the unit degree as we know that the Radians and degrees is unit of angle. To solve this, we have to multiply 180π to the given radian of angle and simplify to get the required solution.

Complete step by step solution:
Conversion of Units is a multi-step process that converts units of measurement for the same quantity. It includes division or multiplication by a numerical factor or rounding off the significant digits.
 Radian and Degrees are both units of measurements of the angle.
The radian is a unit of angular measure defined such that an angle of one radian subtended from the centre of a unit circle produces an arc with arc length 1. A full angle is therefore 2πradians, so there are 3600 per 2πradians, equal to 1800π or 57.295779510. i.e., πc radians are equal to 1800 degrees.
To convert from degree to radian we multiply the angle by: π180.
To convert from radian to degree we multiply the angle by: 180π.
Now, consider the given question, we have to convert 5π6 radians to degrees.
To convert this, multiply by 180π to the given radians of angle i.e.,
 5π6×180π
 5×30
 150 degrees.
Hence, 5π6 radian = 150 degree.
So, the correct answer is “ 150 degree”.

Note: We have different units for solid quantity, liquid quantity and gaseous quantity. Every quantity has a measurement unit from the low quantity to the high quantity. While converting the unit of a quantity from one form to another form we have standard value. By multiplying or dividing we can convert the unit of the quantity. We have a different system of measurement of a quantity.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
EMI starts from ₹3,487.34 per month
Select and buy