Question

Write the equation in standard form for the circle with center (3,10) and radius 2.

Answer 1

Answer: (x+3)^2+(y+10)^2=4

Step-by-step explanation:

The standard form of the equation of a circle is:

(x−x1)2+(y−y1)2=r2

In order to place the center of the circle at point (3, 10), simply replace x1 with 3 and y1 with 10

(x+3)^2+(y+10)^2=r2

Finally, replace r with the radius of the circle.

The final equation is:

(x+3)^2+(y+10)^2=4