The standard form of the equation of the circle is :
(x -a)² + (y - b)² = r²
It is given that center (2, 3) and radius 7
Substitute a = 2, b = 3 and r = 7 in the standard equation of circle
(x - a)² + (y - b)² = r²
(x - 2)² + (y - 3)² = 7²
(x - 2)² + (y - 3)² = 49
The equation of the circle is : (x - 2)² + (y - 3)² = 49
Answer: C) : (x - 2)² + (y - 3)² = 49