1. Tardigrade
  2. Question
  3. Mathematics
  4. Which among the following statement is/are true? I. The unit of measurement is degree in sexagesimal system. II. The unit of measurement is radian in circular system. III. The circumference of a circle always bears a constant ratio denoted as π to its diameter. IV. All the above are correct.

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Q. Which among the following statement is/are true?
I. The unit of measurement is degree in sexagesimal system.
II. The unit of measurement is radian in circular system.
III. The circumference of a circle always bears a constant ratio denoted as $\pi$ to its diameter.
IV. All the above are correct.

Trigonometric Functions

Solution:

Usually we follow two types of conventions for measuring angles i.e., (i) Sexagesimal system (ii) Circular system.
In sexagesimal system, the unit of measurement is degree.
In circular system of measurement, the unit of measurement is radian.
The circumference of a circle always bears a constant ratio to its diameter. This constant ratio is a number denoted by $\pi$ which is taken approximately as $\frac{22}{7}$ for all practical purpose. Hence, option (d) is correct.