Math, asked by Fatema3292, 6 months ago

In the survey of 720 people if 180 are in favour of sector A then the central angle of the sector will be

Answers

Answered by 28sushmasushmakumari
0

Answer:

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Answered by yusufkhanstar29
2

Answer:

90°

Step-by-step explanation:

Concept= Angle of Sector

Given= The Data of sector in favor

To Find= The Angle of Sector

Explanation=

We have been the question as, in the survey of 720 people if 180 are in favor of sector A then the central angle of the sector will be?

So we know that in a pie chart the value is depicted in form of sector. These sectors are are generated from the angle which is generated by the given set of peoples liking and disliking.

The total angle of a circle is 360°

So, the angle for 720 people will be equal to 360° because it depicts the whole set and will be considered the main circle.

So, for 1 person the angle of sector will be 360°/720.

Now we have been told that 180 people are in favor and we need to find the angle of sector for them.

Angle of Sector= given people *  1 person's angle of sector

=> 180 * 360°/720

=> 360°/4

=> 90°

Therefore the angle of sector for the given question is 90°.

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