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Question: Mr. Mirza’s monthly income is Rs.\(7,200\). He spends Rs.\(1,800\) on rent, Rs. \(2,700\) on food, R...

Mr. Mirza’s monthly income is Rs.7,2007,200. He spends Rs.1,8001,800 on rent, Rs. 2,7002,700 on food, Rs. 900900 on education of his children, Rs.1,2001,200 on other things and saves the rest.
Draw a pie-chart to represent it.

Explanation

Solution

In this problem, we are asked to draw a pie chart with the help of Mr. Mirza’s monthly income and also how much money he spends for food, children education, house rent, savings and other things. Our aim is to calculate the percentage for the things he spends and by using the percentage values we can draw the pie chart.

Complete step-by-step solution:
First let us add Mirza’s expenditure for rent, food, children education, savings and other things =1,800+2,700+900+1,200+4,600=7,200 = 1,800 + 2,700 + 900 + 1,200 + 4,600 = 7,200
Central angle for rent:
Given that, Mr. Mirza’s monthly income is Rs.7,2007,200.
Mr. Mirza spends Rs.1,8001,800 on rent.
Rent =18007200×360∘=90∘ = \dfrac{{1800}}{{7200}} \times {360^\circ } = {90^\circ }
Central angle for food:
Mr. Mirza spends Rs.2,7002,700 on food.
Food =27007200×360∘=135∘ = \dfrac{{2700}}{{7200}} \times {360^\circ } = {135^\circ }
Central angle for education:
Mr. Mirza spends Rs.900900 on children's education.
Education =9007200×360∘=45∘ = \dfrac{{900}}{{7200}} \times {360^\circ } = {45^\circ }
Central angle for the other things:
Mr. Mirza spends Rs.12001200 on the other things.
Other things =12007200×360∘=60∘ = \dfrac{{1200}}{{7200}} \times {360^\circ } = {60^\circ }
Central angle for savings:
Mr. Mirza spends the rest of the money for savings:
Savings =6007200×360∘=30∘ = \dfrac{{600}}{{7200}} \times {360^\circ } = {30^\circ }
We know that the sum of the angles of a circle is 360∘{360^\circ }. Now using the all central values of expenditures let us draw the pie chart.

Note: We have to mind that a central angle is an angle whose apex (vertex) is the center of a circle and whose legs (sides) are radii intersecting the circle in two distinct points. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). The central angle is also known as the arc’s angular distance.
We know that the sum of the angles of a circle is 360∘{360^\circ }. If we add the central angle values of rent, food, his children's education, other things and savings we get the angle of a circle. So by using those central angle values we can allot the space for the expenditures.