Basic Engineering Mathematics, Fifth Edition

Revision Test 10 : Areas and circles

This assignment covers the material contained in Chapters 25 and 26.The marks available are shown in brackets at
the end of each question.

1. A rectangular metal platehas an area of 9600cm^2.
   If the length of the plate is 1.2m, calculate the
   width, in centimetres. (3)


2. Calculate the cross-sectional area of the angle iron
   section shown in Figure RT10.1, the dimensions
   being in millimetres. (4)

28

27

5

19

3

4

Figure RT10.1

3. Find the area of the trapeziumMNOPshown in
   Figure RT10.2 whena= 6 .3cm,b= 11 .7cmand
   h= 5 .5cm. (3)
   MN

O

P

h

a

b

Figure RT10.2

4. Find the area of the triangle DEFin Figure
   RT10.3, correct to 2 decimal places. (4)


5. Arectangularparkmeasures150m by70m.A2m
   flower border is constructed round the two longer
   sides and one short side. A circular fish pond of
   diameter 15m is in the centre of the park and the
   remainder of the park is grass. Calculate, correct
   to the nearest square metre, the area of (a) the
   fish pond, (b) the flower borders and (c) the grass.
   (6)


6. A swimming pool is 55mlong and 10mwide. The
   perpendicular depth at the deep end is 5m and at

8.75cm

12.44cm

F

E

D

Figure RT10.3

the shallow end is 1.5m, the slope from one end

to the other being uniform. The inside of the pool

needs two coats of a protective paint before it is

filled with water. Determine how many litres of

paint will be needed if 1 litre covers 10m^2 .(7)

7. Find the area of an equilateral triangle of side
   20 .0cm. (4)


8. A steel template is of the shape shown in
   Figure RT10.4, the circular area being removed.
   Determine the area of the template, in square
   centimetres, correct to 1 decimal place. (8)

30mm

45mm

130mm

70mm

70mm 150mm

60mm

30mm

50mm

dia.

Figure RT10.4

9. The area of a plot of land on a map is
   400mm^2. If the scale of the map is 1 to 50000,