Question

Can someone help me with this question

Answer 1

The standard form of the equation of the circle shown in the graph is
`(x - 2)^2 + (y +2)^2 = 3^2`

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

`(x - h)^2 + (y - k)^2 = r^2`

Where:

• h and k represent the coordinates at the center of a circle.
• r represent the radius of a circle.

By critically observing the diagram of the circle shown above, we can logically deduce the following radius and center (4, 2);

Radius (r) = 3 units.

Center, (h, k) = 2, -2)

By substituting the center (2, -2) and radius of 3 units into the equation of a circle, we have the following:

`(x - h)^2 + (y - k)^2 = r^2\\\\(x - 2)^2 + (y - (-2))^2 = 3^2\\\\(x - 2)^2 + (y +2)^2 = 9`