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Is your first radius 4.5 units long?
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
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
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.
Okay, I'm gonna try to work out the equation. Hold on..
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.
try 10.125*2 this may help chrisisbad92
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
And basically, my shop is the midpoint?
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.
Oh, okay, I see where I went wrong.
two circles inside each other, one larger than the other where the midpoint is your shop.
yup. that's it.
sorry for the light colors.
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
Also, both circles represent the delivery area. Therefore I have to find the area of both circles, correct?
Okay, I'm calculating now.
and 50.24 for the small circle?
Thank you so much. You guys are awesome!!!
No problem! If you need any more help with anything just drop me a line