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How do you prove 1 radian is equal to 360 degree? - Answers

By definition, the number of radians in one complete revolution is given by the ratio of the circumference of a circle to its radius. The circumference of a circle of radius r is of length 2πr. There are thus 2πr/r = 2π radians in one revolution. So, 2π radians = 360° Then 1 radian = 360/2π = 57.296° or 57° 17'



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How do you prove 1 radian is equal to 360 degree? - Answers

https://math.answers.com/algebra/How_do_you_prove_1_radian_is_equal_to_360_degree

By definition, the number of radians in one complete revolution is given by the ratio of the circumference of a circle to its radius. The circumference of a circle of radius r is of length 2πr. There are thus 2πr/r = 2π radians in one revolution. So, 2π radians = 360° Then 1 radian = 360/2π = 57.296° or 57° 17'



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https://math.answers.com/algebra/How_do_you_prove_1_radian_is_equal_to_360_degree

How do you prove 1 radian is equal to 360 degree? - Answers

By definition, the number of radians in one complete revolution is given by the ratio of the circumference of a circle to its radius. The circumference of a circle of radius r is of length 2πr. There are thus 2πr/r = 2π radians in one revolution. So, 2π radians = 360° Then 1 radian = 360/2π = 57.296° or 57° 17'

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      By definition, the number of radians in one complete revolution is given by the ratio of the circumference of a circle to its radius. The circumference of a circle of radius r is of length 2πr. There are thus 2πr/r = 2π radians in one revolution. So, 2π radians = 360° Then 1 radian = 360/2π = 57.296° or 57° 17'

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