Question

What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16

Answer 1

Answer:

Center (h, k) = 2 and -3

Radius = 4

Step-by-step explanation:

Given the mathematical expression;

(x - 2)² + (y + 3)² = 16  ......equation 1.

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 2.

Where the center is C(-h, -k)

Similarly, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 3.

Where;

• h and k represents the coordinates of the centre.
• r represents the radius of the circle.

Comparing equation 1 and equation 3, we have;

The center of the circle, C(h, k) are 2 and -3

Radius = √16 = 4