MHB Looking Answer About Area of Circle.

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The discussion focuses on finding a formula to solve a multiple-choice question regarding the area of a circle. The area of a sector is calculated using the formula A_s = (θ/360)πr², where θ represents the angle of the sector. Participants clarify that the answer of 462 pertains to the area of the sector, not the remaining area of the circle after the sector is removed. There is some confusion about whether the question asks for the area of the cut-out sector or the remaining portion. The conversation emphasizes the need for clarity in the question to avoid misinterpretation.
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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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