Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. Find the amount he spends on food and house rent. *
Answers
Answer:
The answer will be Rs. 2500.
Step-by-step explanation:
Given :
Angle = 60°
Monthly salary = Rs. 15000
Now, the part of pie that is representing the expenses on food and house rent is the part of the amount that he's really spending.
Now we know that a circle has 360° in its center. So, the expense will be ;
* Total amount = Expense on food and house rent;
* 15000 = Expense on food and house rent;
Expense on food and house rent = 1 / 6 * 15000;
= 2500;
The expense on food and house rent will be Rs. 2,500.
That's all.
Given : Monthly salary of a person is Rs. 15000.
The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°.
To Find : the amount he spends on food and house rent. *
Solution:
A pie chart/graph (or a circle chart/graph) is a circular shape graph .
Pie chart/graph is divided into slices/sectors to denote numerical proportion.
In a pie chart, the arc length of each sector (and and its central angle / area), is directly proportional to the value it represents.
Circle (360°) represent the whole (100 %).
Monthly salary of a person is Rs. 15000.
This will represent whole
Hence 360° angle represent Rs 15000
so 60° angle will represent = (60°/360°) 15000
= (1/6) 15000
= 2500
The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°
Hence the amount he spends on food and house rent is Rs 2500
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