To find the equation of a circle, we can use the standard form of a circle’s equation, which is given by:
(x – h)² + (y – k)² = r²
In this equation:
- (h, k) represents the center of the circle.
- r represents the radius of the circle.
In your case, the center of the circle is at the point (1, 2). This means:
- h = 1
- k = 2
The radius is given as r = 3 units. Now, we need to calculate r²:
- r² = 3² = 9
Now we can substitute the values of h, k, and r² into the standard form equation:
(x – 1)² + (y – 2)² = 9
Thus, the equation of the circle with center (1, 2) and radius 3 is:
(x – 1)² + (y – 2)² = 9