MHB Looking Answer About Area of Circle.

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SUMMARY

The discussion centers on calculating the area of a circle and the area of a sector. The formula for the area of a sector, given in degrees, is defined as As = (θ/360) π r2, where θ represents the angle of the sector. Participants debate whether the answer to the multiple-choice question is the area of the sector or the remaining area of the circle after the sector is removed. The final answer discussed is 462, which corresponds to the area of the sector.

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  • Understanding of basic geometry concepts
  • Familiarity with the formula for the area of a circle
  • Knowledge of the formula for the area of a sector
  • Ability to interpret multiple-choice questions in mathematics
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  • Study the derivation of the area of a circle formula: A = π r2
  • Learn how to calculate the area of a sector using As = (θ/360) π r2
  • Explore problems involving sectors and remaining areas in circles
  • Practice interpreting and solving multiple-choice geometry questions
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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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