## 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.

1. ayeeraee

I have to create a pizza shop. This is what I have so far. I'm very confused.

3. ayeeraee

Yes, it is.

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

\[3.14(4.5)^2=\]

6. best.shakir

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.

I'm still struggling with the equation creator lol

8. best.shakir

@ayeeraee is there is any doubts

9. ayeeraee

@best.shakir not yet, I'm gonna try this out

10. Snapbacklive

he's right

11. WLB250219

10.125*2

12. ayeeraee

@chrisisbad92 how should I construct the new circles?

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.

I'd assume you don't want them to intersect either, so using a different quadrant woud probably be best.

15. ayeeraee

Okay, I'm gonna try to work out the equation. Hold on..

16. Vaidehi09

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.

You're right Vaidehi09. The problem doesn't state two different locations for the midpoint.

18. WLB250219

try 10.125*2 this may help chrisisbad92

19. ayeeraee

@Vaidehi09, okay, so I can two radii pointing in different directions?

20. Vaidehi09

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

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

This is what I have now.

23. ayeeraee

And basically, my shop is the midpoint?

24. Vaidehi09

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

Oh, okay, I see where I went wrong.

two circles inside each other, one larger than the other where the midpoint is your shop.

27. ayeeraee

Okay, so this is correct?

28. Vaidehi09

yup. that's it.

29. ayeeraee

sorry for the light colors.

30. Vaidehi09

btw, for easier calculations, why don't u use origin (0,0) as ur centre?

Looks good. Now just set up your two equations and solve for the area

32. ayeeraee

Also, both circles represent the delivery area. Therefore I have to find the area of both circles, correct?

That's correct.

34. Vaidehi09

that's right.

35. ayeeraee

Okay, I'm calculating now.

36. ayeeraee

I got 153.86 for the area of the large circle. Is it right?

37. Vaidehi09

absolutely right.

38. ayeeraee

and 50.24 for the small circle?

39. Vaidehi09

yup.

Good job.

41. ayeeraee

Thank you so much. You guys are awesome!!!

42. Vaidehi09

:))

No problem! If you need any more help with anything just drop me a line

44. that1chick

@best.shakir, what is orx?