Find Area Problem in Multiple Choice Question

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Discussion Overview

The discussion revolves around calculating the area of a shaded region, specifically the area of a square minus the area of a circle. The context appears to be a problem presented in a multiple-choice format, with participants seeking clarification on the calculation process.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant, susanto3311, seeks assistance in finding the area of a shaded blue region in a problem.
  • Another participant suggests calculating the area of a square with a side length of 10 and a circle with a diameter of 10, but the relevance of this suggestion is questioned.
  • A clarification is provided that the blue area is the area of the square minus the area of the circle, with formulas for both areas given.
  • One participant calculates the blue area using the provided formulas and arrives at a result of 21.5 cm², seeking confirmation on its accuracy.
  • A later reply confirms that the calculated result of 21.5 cm² is indeed correct.

Areas of Agreement / Disagreement

There is a general agreement on the method of calculating the area of the shaded region, but the initial responses and their relevance are unclear, leading to some confusion among participants.

Contextual Notes

The discussion does not clarify the specific dimensions or context of the square and circle beyond the provided side and diameter, which may affect the calculations. Additionally, the assumptions regarding the interpretation of the shaded area are not explicitly stated.

susanto3311
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hi all...

how to easy find to figure it out this problem..

how to find are that shading blue color..

please, see my picture..

thanks in advance...susanto3311
 

Attachments

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Mathematics news on Phys.org
Hi susanto3311! :)

What is the area of a square with side 10?
And a circle with diameter 10?
 
I like Serena said:
Hi susanto3311! :)

What is the area of a square with side 10?
And a circle with diameter 10?

i don't understand what do you answer...
 
susanto3311 said:
i don't understand what do you answer...

The blue area is the area of the square minus the area of the circle.

A square with side $s$ has area $s^2$.
A circle with diameter $d$ has area $\frac 1 4 \pi d^2$.

What would you get if you calculate those?
 
I like Serena said:
The blue area is the area of the square minus the area of the circle.

A square with side $s$ has area $s^2$.
A circle with diameter $d$ has area $\frac 1 4 \pi d^2$.

What would you get if you calculate those?

hi Serena...

Finally, with your formula my calculation the result is 21.5 cm2.
it's true? please, corrected if my answer is wrong...

thanks Serena...
 

Attachments

  • blue answer.png
    blue answer.png
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susanto3311 said:
hi Serena...

Finally, with your formula my calculation the result is 21.5 cm2.
it's true? please, corrected if my answer is wrong...

thanks Serena...

Yep. It's true. (Nod)
 

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