Question

sketch the graph of the following circle.
\\((x-4)^2 + (y-2)^2 = 81\\)
(a) find the center of the circle.
(b) find the radius of the circle.
(c) graph the circle.

(a) find the center of the circle.
(type an ordered pair.)

(b) find the radius of the circle.
(type an integer or a decimal.)

(c) graph the circle. use the graphing tool to graph the circle.

Explanation:

Identify the center of the circle

$$
LATEXBLOCK0
$$

Determine the radius of the circle

$$
LATEXBLOCK1
$$

Define the boundary points for graphing

$$
LATEXBLOCK2
$$

Answer:

Question (a)

(4, 2)

Question (b)

9

Question (c)

The graph is a circle centered at (4, 2) with a radius of 9, passing through the points (13, 2), (-5, 2), (4, 11), and (4, -7).