# PT3 Mathematics 2017, Question 7

 
    
Question 7 (a):
 
In Diagram 7.1, arcs BE and CD which are centred at A, are the arches of a bridge. The radius used to build arc BE is 8 m. (i) Calculate the length, in m, of arc BE. Round off the answer to two decimal places.
 [Use π = 3.142]
 (ii) The length of arc CD is 9.95 m.
 Calculate the distance, in m, between arc CD and BE. Round off the answer to two decimal places.
 [Use π = 3.142]
 
 Solution:
 
(i)

 

(ii)

 
   
 
 
Question 7 (b):
Diagram 7.2 shows the floor plan for rooms P and Q which are rented by Syarikat Mesra. (i) State the length, in cm, floor room Q which has been redrawn using scale 1 : 200.
(ii) A rectangular mat with the length of 4 m and the perimeter of 13 m is placed on the floor in room P.
Calculate, in m2, the area of the floor space of room P that is not covered by the mat.

Solution:
(i)

(ii) Area of mat = 4 × 2.5
= 10 m2
Area of room P = 7 m × 5 m
= 35 m2
Area of floor space of room P that is not covered by the mat
= 35 – 10
= 25 m2