Page 93 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

(c) the area of the minor sector AOB (d) the area of triangle AOB
(e) the area of the minor segment.
4. A chord, PQ, of length 10.6 cm is 7.2 cm away from the centre, O, of the circle. Find:
(a) the radius OQ, of the circle
(b) the minor sector angle POQ
(c) the area of the minor sector POQ (d) the area of triangle POQ
(e) the area of the segment.
5. A chord, AB, of length 12.8 cm is 8.3 cm away from the centre, O, of the the circle.
Calculate:
(a) the radius OA, of the circle
(b) the minor sector angle AOB
(c) the area of the minor sector AOB (d) the area of triangle AOB
(e) the area of the segment.
6. Calculate the area of each of the shaded region.
7.
What is the perimeter of each of the following shapes?
(ii) What is the area of each of the following
shapes?
87
22 cloth if its diameter is 0.7 m? Use 􏰀 = ––. cloth if its diameter is 0.7 m? Use 􏰀 = –7–.
1. 2. 3.
4.
27 Find the circumference of a circle of 27 Find the circumference of a circle of
23 23
24 24
The length of the edge of a cube is 6 cm. The length of the edge of a cube is 6 cm.
35 Fi 35 Fi
( (
( (
(c (c
1P 1P
(a)
(b)
How many cubes of edge 2 cm would be How many cubes of edge 2 cm would be
needed to fill the same space? needed to fill the same space?
A cuboid measures 12 cm by 9 cm by A cuboid measures 12 cm by 9 cm by
6 cm. How many cubes of edge 3 cm 6 cm. How many cubes of edge 3 cm
would be needed to fill the same space? would be needed to fill the same space?
REVISION EXERCISE 3
25 Express 2.5 m3 in: (a) mm3 25 Express 2.5 m in: (a) mm
33 26 Express 0.62 cm3 in mm3. 26 Express 0.62 cm in mm .
radius 2.5 cm. Use 􏰀 = 3.14. radius 2.5 cm. Use 􏰀 = 3.14.
(b) (b)
cm3. cm .
7
3 3 3
28 Find the circumference of a circle of 28 Find the circumference of a circle of
diameter 29 mm. Use 􏰀 = 3.14. diameter 29 mm. Use 􏰀 = 3.14.
Rona Rona
29 Find the circumference of a circle of
hous hous
29 Find the circumference of a circle 22
of
6m 6m
22 radius 0.7 m. Use 􏰀 = ––. radius 0.7 m. Use 􏰀 = –7–.
divid divid
30 Find the perimeter of each shape. 30 Find the perimeter of each shape.
peri peri
22 Use 􏰀 = ––. Use 􏰀 = –7–.
(a) (a)
(b) (b)
help help
22
7
iden iden
d = 1.4 m d = 1.4 m
100 cm
100 cm
31 How long is the hem of a circular table- 31 How long is the hem of a circular table- 22
you you
32 The circumference of a circle is 176 cm. 32 The circumference of a circle is 176 cm.
3R
(b)
2 2
O
O
r= 1.7 m p= 6.07 m
14 cm
14 cm
shap shap
73R
22 A fir 22 A fir
a squ a squ
Find the radius of the circle. Use 􏰀 = ––. Find the radius of the circle. Use 􏰀 = –7–.
7 sells sells
a a
b b
M M
b b
t t
m m
M M
e e
h h
m m
t t