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 cm2. 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 mm2, what is its radius?
