Looking Answer About Area of Circle.

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    Area Circle
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Discussion Overview

The discussion revolves around finding a formula to solve a multiple-choice question related to the area of a circle, specifically addressing the area of a sector and the remaining area after a sector is cut out. The scope includes mathematical reasoning and problem-solving related to geometry.

Discussion Character

  • Mathematical reasoning, Homework-related, Debate/contested

Main Points Raised

  • Some participants propose using the formula for the area of a sector, given by $$A_s = \dfrac{\theta}{360} \pi r^2$$, where $$\theta$$ is the angle of the sector.
  • One participant claims the answer is 462, asking for agreement from others.
  • Another participant points out that the question could be clearer about whether it asks for the area of the cut-out sector or the remaining area ("pacman").
  • There is a reminder that the area of the sector must be subtracted from the area of the whole circle to find the remaining area.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of the question and the correct answer, indicating that there is no consensus on whether the answer should reflect the area of the sector or the remaining area.

Contextual Notes

The discussion highlights potential ambiguities in the question regarding what is being asked, which may affect the interpretation of the answer.

susanto3311
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hello all...

i'am looking for a formula to solve this multiple choice question about area of circle...

like my picture below ...

any body can help me, thanks in advance...

susanto3311
 

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susanto3311 said:
hello all...

i'am looking for a formula to solve this multiple choice question about area of circle...

like my picture below ...

any body can help me, thanks in advance...

susanto3311

The area of the bit of the circle left will be area of the whole circle less the area of the cut out sector. The formulae for the area of a sector (in degrees) is given by

$$A_s = \dfrac{\theta}{360} \pi r^2$$

In this case $$\theta$$ is the angle of the sector (i.e. the missing piece in your example)
 
SuperSonic4 said:
The area of the bit of the circle left will be area of the whole circle less the area of the cut out sector. The formulae for the area of a sector (in degrees) is given by

$$A_s = \dfrac{\theta}{360} \pi r^2$$

In this case $$\theta$$ is the angle of the sector (i.e. the missing piece in your example)

the answer is 462...do you agree?
 
susanto3311 said:
the answer is 462...do you agree?

I get B as my answer (although the question could stand to be clearer about whether or not it wants the area of the cut out sector or the area of "pacman" - the bit that's left).

How did you arrive at 462 (which is the area of the sector)? Don't forget that's just the area of the sector - you need to subtract this from the area of the whole
 
SuperSonic4 said:
I get B as my answer (although the question could stand to be clearer about whether or not it wants the area of the cut out sector or the area of "pacman" - the bit that's left).

How did you arrive at 462 (which is the area of the sector)? Don't forget that's just the area of the sector - you need to subtract this from the area of the whole

hi super...

thanks. i'am missing you are right...
 

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