Angle Degree Conversion

Angle is measured between the two lines which are intersecting each other and the intersecting point is called the vertex of the angle. There are three ways to measure the angle; they are degree, grade and radians. Here we see about the angle measured in degree and how the conversion takes place from degree to radian and grade and vice versa.

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Angle Degree Conversion:

Conversion of degree to radians – Multiply the given degree by `(pi)/(180^0)` to get radians.

Conversion of degree to grade - Multiply the given degree by `(10)/(9)` to get grade.

Conversion of radians to degree – Multiply the given radians by `(180^0)/(pi)` to get degree.

Conversion of grade to degree - Multiply the given grade by`(9)/(10)` to get degree. These are the formula used for the conversion of degree to other measurement. Let see the example problem in angle degree conversion.

Example Problem – Angle Degree Conversion:

Example 1:

Convert the degree 60° to radian.

Solution:

Step 1: Multiply the 60 degree by `(pi)/(180^0)` to get radians.

60° * ( `(pi)/(180^0)`) =  `(pi)/(3)`

Answer: 60 degree = `(pi)/(3)` radian

Example 2:

Convert the radian  `(pi)/(2)` to degree.

Solution:

Step 1: Multiply the  `(pi)/(2)` radians by  `(180^0)/(pi)` to get degree.

`(pi)/(2)` *  `(180^0)/(pi)` = 90°

Answer: radian  `(pi)/(2)`90 in degree

Example 3:

Convert the degree 45° to grade.

Solution:

Step 1: Multiply the 45 degree by  `(10)/(9)` to get grade.

45° * ( `(10)/(9)`) = 10 * (5) = 50 grade

Answer: 45 degree = 100 grades

Example 4:

Convert the grade 100 to degree.

Solution:

Step 1: Multiply the 100 grade by  `(9)/(10)` to get degree.

100 * ( `(9)/(10)`) = 90°

Answer: 110 grades = 90 in degree.

My forthcoming post is on Definition Acute Angle and maths projects for class 10 cbse will give you more understanding about Algebra.

These are example problem in angle degree conversion. Let do the practice problem in angle degree conversion.

Practice Problem – Angle Degree Conversion:

1. Convert the degree 30 to radian.

Answer: π/6

2. Convert the degree 36° to grade.

Answer: 40 grades