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Nick2019

  • 2 years ago

Area of A circle

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  1. Nick2019
    • 2 years ago
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    |dw:1363617028530:dw|

  2. Nick2019
    • 2 years ago
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    the large cirlce has a radius of 6

  3. Nick2019
    • 2 years ago
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    the small circles are congruent

  4. Soumyadeep
    • 2 years ago
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    \[Area = \pi r^{2}\] just plug in the values

  5. Nick2019
    • 2 years ago
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    @Soumyadeep can you help with this one to, its what is the area of a circle in which the longest possibale chord is 6in long

  6. Soumyadeep
    • 2 years ago
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    This is the diameter, so radius will diameter/2

  7. Nick2019
    • 2 years ago
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    @Soumyadeep so it wil be 3

  8. Soumyadeep
    • 2 years ago
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    yes

  9. Nick2019
    • 2 years ago
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    |dw:1363617467462:dw|

  10. Nick2019
    • 2 years ago
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    @Soumyadeep is this the same thing?

  11. Soumyadeep
    • 2 years ago
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    which are you want to compute?

  12. Nick2019
    • 2 years ago
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    SHaded region the inside of that small triangle @Soumyadeep

  13. Soumyadeep
    • 2 years ago
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    since its an equilateral triangle, the small triangle inside the big one will have sides each equal to x

  14. Nick2019
    • 2 years ago
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    so its 2

  15. Nick2019
    • 2 years ago
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    @Soumyadeep so its 2?

  16. Nick2019
    • 2 years ago
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    @Soumyadeep how do you do this? also find the area of a square inscribed in a circle of radis x

  17. Nick2019
    • 2 years ago
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    @Soumyadeep plz help this is my last question then i gtg to school

  18. Soumyadeep
    • 2 years ago
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    the radius is x so diameter will be 2x now \[a^{2} + b^{2} = c^{2}\] a = b because the sides of a square are equal, so \[2a^{2} = (2x)^{2}\] \[a = \sqrt{\frac{ 4x^{2} }{ 2 }}\] and Area of a square = side x side

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