Question

Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.

Answer 1

Answer:  (i) This angle is 33.41% of the full rotation.

(ii) 120.38°

Step-by-step explanation:

GIven: Measure of full rotation = 2π radians

Measure of an angle = 2.1 radians.

The percent of this angles of a full rotation = $\dfrac{2.1}{2\pi}\times100\%$

$=\dfrac{2.1\times7}{2\times22}\times100\% \ \ \ \ [\pi =\dfrac{22}{7}]\\\\=33.41\%$

i.e. This angle is 33.41% of the full rotation.

In degrees,

$\text{ 2.1 radians}=2.1\times\dfrac{180}{\pi}\\\\=2.1\times\dfrac{180}{3.14}\approx120.38^{\circ}$