1) Convert the following angles from degrees to radians, giving the answers as multiples of . (a)...

1) Convert the following angles from degrees to radians, giving the answers as multiples of π.

(a) 30°

(b) 45°

(c) 120°

(d) 200°

2) Convert the following angles from radians to degrees.

(a) π/2

(b) 3π/4

(c) 5π/6

(d) π/3 

3) Calculate the length of the arc subtended by an angle of 20° in a circle of radius 50 mm.

4) Calculate the length of an arc subtended by an angle of π/7 in a circle of radius 12 mm.

5) Calculate the area of the sector of a circle of radius 15 mm when the sectorial angle is 15°.

6) Calculate the area of the sector of a circle of radius 20 mm where the sectorial angle is 5π/6.

7) A template is in the shape of a sector of a circle of radius 12.5 cm and subtending an angle of 32° at its centre. Determine both the area and perimeter of the template.

8) A piece of flexible wire in the form of an arc of a circle of radius 44 cm, subtends an angle of 30° at the centre of the corresponding circle. The wire is bent so as to form a complete circle. What is the radius of this circle?