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Anglesare measured through either Radians or degrees.

What is a Radian?

The measure of the central angle subtended by an arc equal in length to the radius of a circle is called Radian.

How to convert Degrees to Radians?

Multiply the number of degrees by ^{π}⁄_{(180°)}

How to convert Radians to degree?

Multiply the radians by^{(180°)}⁄_{π}

Example 1: What is the radian measure of 60°?

Answer: Radian measure = 60° x ^{π}⁄_{(180°)}

=^{π}⁄_{3}

Example 2: How many radians are depicted in the figure?

2π (b) π (c)^{π}⁄_{2} (d) 1

Answer: b

Relationship between degree, radian and grade is

Example 2: 60° is equal to how many radians and grade?

Answer: ^{180}⁄_{60} =^{π}⁄_{R}

R = ^{60π}⁄_{180} = ^{π}⁄_{3}
^{180}⁄_{60} = ^{200}⁄_{G}

3= ^{200}⁄_{G}

G = ^{200}⁄_{3}

Example 3: Express ^{3π}⁄_{5} in terms of degrees.

Answer: