Question

If d g and c be the Numbers of degree grades and radians of angle prove that D/180=G/200=C/pie

Answer 1

The angle subtended by an arc of length 'r' of a circle whose radius exists 'r' is comprehended as 1 radian.

The relations between sexagesimal measure (degree), centesimal measure(grade), and circular measure (radian) are

π radians = 180 Degrees

90 Degrees = 100 grades

⇒ 180 Degrees = 200 grades

Therefore, 180 Degrees = 200 grades = π radians

How radian measure related to degree measure?

To transform the value of the angle in degree, to its equivalent radians, we must multiply the given value by π/180.

For instance, the value of 180 degrees is π in radians.

In a complete rotation, the length of the intercepted arc exists equivalent to the circumference of the circle or 2πr.

Dividing the equation 180 degrees = π radians

The relations between sexagesimal measure (degree), centesimal measure(grade), and circular measure (radian) are

π radians = 180 Degrees

90 Degrees = 100 grades

⇒ 180 Degrees = 200 grades

Therefore, 180 Degrees = 200 grades = π radians

To learn more about radians refer to:

brainly.com/question/1329661

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