Answer:
Hence the required equation of circle is
(x - 4)² + ( y - 1)² = 4
Step-by-step explanation:
The equation of a circle whose center (h, k) and radius r is given-
(x - h)² + (y - k)² = r²
Here given that-
Center = ( 4, 1) & r = 2
Equation of circle-
( x - 4)² + ( y - 1)² = 2²
(x - 4)² + ( y - 1)² = 4
x² + 16 - 8 x + y² + 1 - 2 y = 4
x² + y² -8 x - 2 y + 13 = 0
Hence the required equation of circle is
(x - 4)² + ( y - 1)² = 4
0R
x² + y² - 8 x - 2 y + 13 = 0
