1. ## Conics-Circle Question

To organize a military exercise, a drill sergeant designates an enemy territory represented by the inequality (x-2)^2+(y+5)^2 (less than or equal to 9) on the map of the base, whose axes are scaled in kilometers. If the soldiers respect a no man's land of 0.1km, what relation represents the friendly territory?

Plz explain.

2. Originally Posted by Solid8Snake
To organize a military exercise, a drill sergeant designates an enemy territory represented by the inequality (x-2)^2+(y+5)^2 (less than or equal to 9) on the map of the base, whose axes are scaled in kilometers. If the soldiers respect a no man's land of 0.1km, what relation represents the friendly territory?

Plz explain.
The equation of a cirlce is

$\displaystyle (x-2)^2+(y+5)^2\le 3^2$ where 3 is the radius of the circle

If they respect no mans land it will incerase by .1 so the new equaition would be

$\displaystyle (x-2)^2+(y+5)^2 \le (3.1)^2$

3. well according to the answer booklet its 9.61. but why is that?

4. Originally Posted by Solid8Snake
well according to the answer booklet its 9.61. but why is that?
look at my above post again!

$\displaystyle (3.1)^2=....$

5. thx a million, sorry about my other post im a bit tired

6. Originally Posted by Solid8Snake
To organize a military exercise, a drill sergeant designates an enemy territory represented by the inequality (x-2)^2+(y+5)^2 (less than or equal to 9) on the map of the base, whose axes are scaled in kilometers. If the soldiers respect a no man's land of 0.1km, what relation represents the friendly territory?

Plz explain.
$\displaystyle (x-2)^2+(y+5)^2 > (3.1)^2$