1. Give the following angles in radians (in terms of π ):
a

30°

b

330°

c

45°

d

10°

e

720°

f

35°

g

144°

h

125°

2. Give the following angles in radians (to 3 significant figures):
a

34°

b

304°

c

28°

d

179°

e

70°

f

500°

g

220°

h

299°

3. Give the following angles in degrees:
a

π/12

b

c

d

0.5π


e

1.25π

f

4π

g

5π/2

h

2π

4. Give the following angles in degrees (to nearest tenth):
a

0.5

b

1

c

2.3

d

1.254

e

6.28

f

0.012

g

2

h

3.14159

5. Find the lengths of the minor arc AB and the area of the minor sector AOB in each of the following (give answers to 3 sig. fig.):
a. 
b. 
c. 
d. 
6. a. Find the length of a arc which subtends an angle of 60° at the centre of a cirlce of diameter 20 cm
b. If the length of an arc of a circle is 10 cm. The radius of the circle is 5 cm, what angle does the arc subtend at the centre of the circle?
c. A sector of a circle has an area of 100 cm^{2}. The angle subtended by the sector is 2 radians. What is the radius of the circle?
d. An arc of length 7.6 cm subtends an angle of 3.2 radians at the centre of a circle. What is the radius of the circle?
e. A major sector which makes an angle of 300° at the centre of a circle. If its area is 245 mm^{2}, what is its radius?