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ayeeraee

  • 3 years ago

Help!!!!! Determine the delivery radius for your shop. Draw a point on a coordinate plane where your shop will be located. Create two different radii lengths from your shop, and construct the circles that represent each delivery area. How much area will each delivery radius cover? Write the equation for each circle created. Please show your work for all calculations.

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  1. ayeeraee
    • 3 years ago
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    I have to create a pizza shop. This is what I have so far. I'm very confused.

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  2. chrisisbad92
    • 3 years ago
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    Is your first radius 4.5 units long?

  3. ayeeraee
    • 3 years ago
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    Yes, it is.

  4. chrisisbad92
    • 3 years ago
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    Ok, so you need to create another circle with a different radius length and then solve for the areas of the two different circles. The formula for area of a circle is pi(r)^2 where r represents the length of the radius. So, your first equation would be Pi(4.5)^2

  5. WLB250219
    • 3 years ago
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    \[3.14(4.5)^2=\]

  6. best.shakir
    • 3 years ago
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    The equation of a circle in x-y coordinates is: (x-g)² + (y-h)² = R² where the radius of the circle is R and the center of the circle is at (x,y) = (g, h) (g,h) would be the coordinates of the location of you shop, and R would be the radius of the delivery area. Assuming that your shop is located at the center of the coordinate system, (x,y) = (0,0), and your delivery radius is 10 miles, the equation of the circle representing that delivery area would be: (x-0)² + (y-0)² = 10² or x² + y² = 100 where x and y are measured in miles.

  7. chrisisbad92
    • 3 years ago
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    I'm still struggling with the equation creator lol

  8. best.shakir
    • 3 years ago
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    @ayeeraee is there is any doubts

  9. ayeeraee
    • 3 years ago
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    @best.shakir not yet, I'm gonna try this out

  10. Snapbacklive
    • 3 years ago
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    he's right

  11. WLB250219
    • 3 years ago
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    10.125*2

  12. ayeeraee
    • 3 years ago
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    @chrisisbad92 how should I construct the new circles?

  13. chrisisbad92
    • 3 years ago
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    However you like. Decide a new place for the midpoint of your 2nd circle and make sure the radius is either longer or shorter than 4.5.

  14. chrisisbad92
    • 3 years ago
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    I'd assume you don't want them to intersect either, so using a different quadrant woud probably be best.

  15. ayeeraee
    • 3 years ago
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    Okay, I'm gonna try to work out the equation. Hold on..

  16. Vaidehi09
    • 3 years ago
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    hold on...shouldn't the 2 circles be concentric? they didn't mention to change the location of ur shop. so, for the second circle, keep the centre same and only change the value of ur radius.

  17. chrisisbad92
    • 3 years ago
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    You're right Vaidehi09. The problem doesn't state two different locations for the midpoint.

  18. WLB250219
    • 3 years ago
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    try 10.125*2 this may help chrisisbad92

  19. ayeeraee
    • 3 years ago
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    @Vaidehi09, okay, so I can two radii pointing in different directions?

  20. Vaidehi09
    • 3 years ago
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    i don't really get what u mean by that...but this is how ur figure should look like: |dw:1344003586308:dw|

  21. chrisisbad92
    • 3 years ago
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    Basically two circles with one inside of the other one. Your shop is located in one position and you're making two different size radius circles representing two different possible delivery areas

  22. ayeeraee
    • 3 years ago
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    This is what I have now.

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  23. ayeeraee
    • 3 years ago
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    And basically, my shop is the midpoint?

  24. Vaidehi09
    • 3 years ago
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    no! that's the same circle! see, the lengths of both those radii is the same right? so its the same circle. u need a bigger or smaller radius for the second circle.

  25. ayeeraee
    • 3 years ago
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    Oh, okay, I see where I went wrong.

  26. chrisisbad92
    • 3 years ago
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    two circles inside each other, one larger than the other where the midpoint is your shop.

  27. ayeeraee
    • 3 years ago
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    Okay, so this is correct?

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  28. Vaidehi09
    • 3 years ago
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    yup. that's it.

  29. ayeeraee
    • 3 years ago
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    sorry for the light colors.

  30. Vaidehi09
    • 3 years ago
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    btw, for easier calculations, why don't u use origin (0,0) as ur centre?

  31. chrisisbad92
    • 3 years ago
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    Looks good. Now just set up your two equations and solve for the area

  32. ayeeraee
    • 3 years ago
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    Also, both circles represent the delivery area. Therefore I have to find the area of both circles, correct?

  33. chrisisbad92
    • 3 years ago
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    That's correct.

  34. Vaidehi09
    • 3 years ago
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    that's right.

  35. ayeeraee
    • 3 years ago
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    Okay, I'm calculating now.

  36. ayeeraee
    • 3 years ago
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    I got 153.86 for the area of the large circle. Is it right?

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  37. Vaidehi09
    • 3 years ago
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    absolutely right.

  38. ayeeraee
    • 3 years ago
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    and 50.24 for the small circle?

  39. Vaidehi09
    • 3 years ago
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    yup.

  40. chrisisbad92
    • 3 years ago
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    Good job.

  41. ayeeraee
    • 3 years ago
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    Thank you so much. You guys are awesome!!!

  42. Vaidehi09
    • 3 years ago
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    :))

  43. chrisisbad92
    • 3 years ago
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    No problem! If you need any more help with anything just drop me a line

  44. that1chick
    • 3 years ago
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    @best.shakir, what is orx?

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