Area of a Sector, Area of a Circle, Area of a Square

1. FIre Sprinkler System
ProposalOrbes, Nikka Jean
Globio, Shaira
Herrera, Dan Lester
Sayana, Allan Arman
Delos Santos, Patrick

2. 3D
2D

4. Measurements Of The Classroom
Length – 32 ft
Width – 26 ft
Measurements of The CR
Length – 6 ft
Width – 3.5 ft

5. ($8.37)(Php49.62)
= Php 415.33
Php 415.33 per sprinkler

6. Sprinkler’s Capacity
Radius : 4
Diameter: 8

7. A. How many Sprinkler can be installed without over lapping
each others sprinklers range
B. What is the area of the watered region?
C. What is the area of the unwatered region?
D. What is the fewest number of sprinklers to water the
whole field? (Overlaps are permitted)
E. What is the total area of regions that water overlaps
Problems:

8. A. How many
Sprinkler can
be installed
without over
lapping each
others
sprinklers
range
13 Sprinklers
32 ft.
26 ft.
Sprinklers
Icon

9. Sprinklers

10. Sprinklers

11. B. What is the Area of the watered region?
A = 𝜋r 2
A = 𝜋4 2
= (50.27) (13)
= 603.24

12. C. Find the area of the unwatered region?
1st : Find the area of the room
A=(l)(w)
A = (32)(26)
A = 832
2nd : Subtract the Area of the room with the
area of the watered region
= 832-603.24
= 228.76

13. D. What is the
fewest number
of sprinklers to
water the
whole field?
(overlaps are
permitted)
32 Sprinklers

14. E. What is the total area of regions that
water overlaps?
?
Area of a Sector
𝜋r 2 X
360
𝜋(4) 2 (90)
360
12.56637061
= 12.57

15. Area of Square
= 42 – (Area of a
Sector)
= 16 – 12.57
= 3.43?

16. 3.43 + 3.43
= 6.86
(4) 2
16 – 6.86
= 9.14

17. (area of overlaps)(total no. of overlaps)
= (9.14)(46)
= 420.44
420.44 is the total area of regions that
water overlaps

18. Price of Each Sprinkler
= Php 415.33
Overall Expenses of the Sprinkler
System in a Classroom
= (Php 415.33)(32)
= Php 13,290.56
Sprinkler Price and
Overall Expenses