Different expenditures incurred on the construction of a building were shown by a pie diagram. The expenditure Rupees 45,000 on cement was shown by a sector of central angle of 75°. What was the total expenditure of the construction ? Find the correct answer from the alternatives given.
(A) 2,16,000
(B) 3,60,000
(C) 4,50,000
(D) 7,50,000
Answers
Answer:
the correct answer from the alternatives given. = Rs 216000
Step-by-step explanation:
expenditures incurred on the construction of a building were shown by a pie diagram
a pie diagram is a circle
A complete circle has 360° angle
The expenditure Rupees 45,000 on cement was shown by a sector of central angle of 75°
=> 75° Angle sector shows expenditure = Rs 45000
=> 75° Angle sector shows expenditure = Rs 45000/75 = 600
=> 360° Angle sector shows expenditure = 600 * 360
= Rs 216000
the total expenditure of the construction = Rs 216000
the correct answer from the alternatives given. = Rs 216000
Answer:
(A) 2,16,000
Step-by-step explanation:
the expenditure on cement=Rupees 45,000
The measure of central angle= 75°
the total expenditure of the construction be rs. x
the measure of Central angle= expenditure on cement/total expenditure of the construction×360
75=45000/x×360
75= 16200000/x
x= 216000