Question

What is the formula to convert degree into radian​

Answer 1

Answer:

Degree and Radian Measure Formula

In mathematics, the radian is the standard unit of angular measure. An angle’s measurement in radians is numerically equal to the length of a corresponding arc of a unit circle. The relationship or the connection between the arc length and radius of a circle defines radian of a circle. Degree and radian formula used to convert, degree to radian or radian to degree.

Radian=ArcLengthRadiusLength

Radian=Degree×π180

Here are few Degree Measures and their corresponding Radian Measures –

30°=π6

45°=π4

60°=π3

90°=π2

120°=2π3

135°=3π4

150°=5π6

180°=π

210°=7π6

225°=5π4

240°=4π3

270°=3π2

300°=5π3

315°=7π4

330°=11π6

360°=2π

Solved Examples

Question 1:

Convert 220° into radian measure?

Solution:

Given Degree = 220°

Formula is,

Radian = degree×π180

Radian = 220×π180

Radian = 11×π9

Radian = 3.837

Answer 2

Answer:

This is the way to convert degree into radian.