**Q4: **

Convert to radians giving the answer in terms of .

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- E

**Q5: **

Convert to radians giving the answer in terms of .

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**Q6: **

Convert into radians in terms of .

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**Q7: **

Convert into radians in terms of .

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**Q8: **

Find the size of the smaller angle between the hour and minute hands at half past nine giving the answer in radians.

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**Q9: **

Two angles in a triangle are and . Find the value of the third angle giving the answer in radians in terms of .

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**Q10: **

Two angles in a triangle are and . Find the value of the third angle giving the answer in radians in terms of .

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**Q11: **

Two angles in a triangle are and . Find the value of the third angle giving the answer in radians in terms of .

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- D

**Q12: **

What is the perimeter of a unit circle in terms of ?

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What is the angle of a complete rotation?

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What is the length of the arc in a unit circle subtended by an angle of ?

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Which fraction of a complete rotation does an angle of correspond to?

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**Q13: **

Find the values of two supplementary angles in radians given the difference between the angles is .

- A ,
- B ,
- C ,
- D ,

**Q14: **

The shadow of a sundial changes at a rate of every hour. After how many hours the shadow will rotate by an angle of radians?

**Q15: **