Question

monthly salary of a person is 15000 the central angle of sector is presenting his expense on food and house rent on a pie chart is 60° the amount he spent on food and house rent is

Answer 1

expense on food and house / income × 360 = central angle
let expenses be X
X/15000×360 = 60
X = 60×15000/ 360
X = 2500
hence expenses are 2500 rs

Answer 2

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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