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Question

How many of the following statements are correct?

(1)1360o of a complete circular turn is called a radian.

(2) The angle subtended by an arc of a circle whose length is equal to the radius of the circle is called a degree.


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Solution

(1) is the definition of degree and (2) is the definition of radian
(1) For those who know 360o is equal to one complete rotation, the definition is intuitive.
(2)


When the arc length = radius, we get one radian.
Key steps: (1) knowing the definition of degree and radian.


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