Sample quiz on radian measure
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1. In order to convert an angle from degrees to radians $\cdots\cdots$
   
   A: multiply the degree angle by $180$
   B: multiply the degree angle by $\frac{180}{\pi}$
   C: multiply the degree angle by $\frac{\pi}{180}$
   D: multiply the degree angle by $180\pi$.
2. If $60^{\circ}$ is converted to radians, one obtains $\cdots\cdots$
   
   A: $\frac{\pi}{3}$
   B: $\frac{3}{\pi}$
   C: $\frac{2\pi}{3}$
   D: $\frac{\pi}{4}$
3. Convert $\frac{2\pi}{5}$ from radians to degrees.
   
   A: $36^{\circ}$
   B: $72^{\circ}$
   C: $108^{\circ}$
   D: $450^{\circ}$
4. Convert $\frac{7\pi}{12}$ from radians to degrees.
   
   A: $420^{\circ}$
   B: $240^{\circ}$
   C: $210^{\circ}$
   D: $105^{\circ}$
5. Convert $330^{\circ}$ to radians.
   
   A: $\frac{6\pi}{11}$
   B: $\frac{11\pi}{6}$
   C: $\frac{5\pi}{6}$
   D: $\frac{6\pi}{5}$
6. Find the length of an arc of a circle which subtends an angle of $2.1$ radians at the centre of a circle of radius $0.7$ cm.
   
   A: $2.8$ cm
   B: $1.4$ cm
   C: $1.47$ cm
   D: $0.33$ cm
7. What is the value of $\sin(\frac{\pi}{3})$?
   
   A: $\frac{1}{2}$
   B: $\frac{\sqrt{2}}{2}$
   C: $\frac{\sqrt{2}}{3}$
   D: $\frac{\sqrt{3}}{2}$
8. What is the value of $\cos(\frac{\pi}{3})$?
   
   A: $\frac{1}{2}$
   B: $\frac{\sqrt{2}}{2}$
   C: $\frac{\sqrt{2}}{3}$
   D: $\frac{\sqrt{3}}{2}$
9. What is the value of $\tan(\frac{\pi}{3})$?
   
   A: $\frac{\sqrt{3}}{3}$
   B: $\frac{1}{\sqrt{3}}$
   C: $\sqrt{3}$
   D: $\sqrt{2}$
10. What is the value of $\sec(\frac{\pi}{4})$?
    
    A: $\sqrt{3}$
    B: $\sqrt{2}$
    C: $\frac{\sqrt{2}}{2}$
    D: $\frac{\sqrt{3}}{3}$