The document is a math lesson on the equation of a circle. It discusses key concepts like the center of a circle, (c(x,y)), the radius (r), and using the radius and distances between points to calculate the minimum and maximum possible distances between two points on a circle. It provides examples of circles with given centers and radii and shows the work to determine the minimum and maximum distances between points on those circles.

1. ACADEMIA PRE UNIVERSITARIA
“VESALIUS”
SEMESTRAL 10 - II
2010
ALUMNO: .................................................................................................. FECHA: 18 – 08 – 2010
PROFESOR: Erick Vásquez Llanos
ASIGNATURA:
TEMA Nº 02 - ECUACIÒN DE LA CIRCUNFERENCIA
[UNT – 07 - II]
[UNT – 09 – I]

2. [CEPUNT – 07 – I]
[UNT – 05 - II]
3 17
;
5 5

3. [CEPUNT – 06 – II]
13
[CEPUNT – 07 – I]

4. 3
α
c(2; – 3)
r = (1/2)rad(16 + 36 + 156) = rad(52)
rad(52)
(26)

5. 3
c(5; 7)
r = (1/2)rad(100 + 196 + 604) = 15
dmin + r = d(A; C)
dmin + 15 = rad(82 + 152) = 17
dmin = 2
dmin + 2r = dmax
α
2 + 2(15) = dmax
dmin = 2 dmax = 32
Profesor: Erick Vásquez LLanos