Q. 144.0( 11 Votes )

Observe the adjac

Answer :

(1) To find central angle for cars:


Given that, percentage of cars passing a signal in a town = 30%


Number of cars = 30


& Total number of vehicles = 100


Central angle for cars is given by,




Central angle for cars = 108°


Thus, central angle for cars is 108°.


To find central angle for tempos:


Given that, percentage of tempos passing a signal in a town = 12%


Number of tempos = 12


& Total number of vehicles = 100


Central angle for tempos is given by,




Central angle for tempos = 43.2°


By approximating, we get


Central angle for tempos = 43°


Thus, central angle for tempos is 43.2°.


To find central angle for buses:


Given that, percentage of buses passing a signal in a town = 8%


Number of buses = 8


& Total number of vehicles = 100


Central angle for buses is given by,




Central angle for buses = 28.8°


By approximating, we get


Central angle for buses = 29°


Thus, central angle for buses is 29°.


To find central angle for auto-rikshaws:


Given that, percentage of auto-rikshaws passing a signal in a town = 10%


Number of auto-rikshaws = 10


& Total number of vehicles = 100


Central angle for auto-rikshaws is given by,




Central angle for auto-rikshaws = 36°


Thus, central angle for auto-rikshaws is 36°.


To find central angle for two-wheelers:


Given that, percentage of two-wheelers passing a signal in a town = 40%


Number of two-wheelers = 40


& Total number of vehicles = 100


Central angle for two-wheelers is given by,




Central angle for two-wheelers = 144°


Thus, central angle for two-wheelers is 144°.


Check: Add all central angles for vehicles (cars + tempos + buses + auto-rikshaws + two-wheelers) = 108° + 43° + 29° + 36° + 144° = 360°


Hence, it’s correct.


(2). Given: Number of two-vehicles = 1200


And central angle for two-vehicles = 144° (as found in part (1))


Then,





Total number of vehicles = 3000


Thus, there are total 3000 vehicles in all.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Time alloted for MHB - Mathematics Part-1

The following tabMHB - Mathematics Part-1

Find the correct MHB - Mathematics Part-1

Find the correct MHB - Mathematics Part-1

The annual investMHB - Mathematics Part-1

Attempt any threeMaharashtra Board - Algebra Papers

Attempt any threeMaharashtra Board - Algebra Papers

Attempt any two oMaharashtra Board - Algebra Papers

Attempt any threeMaharashtra Board - Algebra Papers

Attempt any four Maharashtra Board - Algebra Papers