Final Answer:
The circle with a radius of 3 and centered at (1, 2) can be represented by the equation (x-1)² + (y-2)² = 3².
Step-by-step explanation:
To draw a circle with a radius of 3 and centered at (1, 2), we use the standard equation for a circle: (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r is the radius. Substituting the given values, we get (x-1)² + (y-2)² = 3². This equation represents all the points that are exactly 3 units away from the center (1, 2), forming a circle.
The center of the circle is at the point (1, 2), which means that it is shifted one unit to the right on the x-axis and two units up on the y-axis from the origin. The radius of the circle is 3 units, so any point on the circumference of the circle will be exactly 3 units away from its center. By plotting these points and connecting them, we can draw a circle with a radius of 3 centered at (1, 2).
In summary, to draw a circle with a radius of 3 and centered at (1, 2), we use the equation (x-1)² + (y-2)² = 3². This equation represents all the points that are exactly 3 units away from the center, resulting in a circle with specified properties.