Question

Napisz równanie okręgu
a). S(-2,3) r=4
b). S(1,-4) A(2,5)

Answer 1

A)
S = ( - 2 , 3)     r = 4
a = - 2
b = 3
(x - a)² + (y - b)² = r²
(x + 2)² + (y - 3)² = 16
b)
S = (1 , - 4)   , A = (2 , 5)
xa = 1
xb = 2
ya = - 4
yb = 5
ISAI = √[(xb - xa)² + (yb - ya)²] = √[(2 - 1)² + (5 + 4)²] = √(1² + 9²) = 
 = √(1 + 81) = √82
r = √82
S = (1 , - 4)
a = 1
b = - 4
(x - a)² + (y - b)² = r²
(x - 1)² + (y + 4)² = (√82)²
(x - 1)² + (y + 4)² = 82