Question

I NEED HELP WITH A QUICK QUESTION! 30 POINTS!

For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.

(a) What are the coordinates of the center?

(b) What are the radius and diameter of the circle?

(c) Graph the circle.

Answer 1

The center of the circle is at (2, -3), the radius is 3 units, and the diameter is 6 units. To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.

Step-by-step explanation:

(a) The coordinates of the center of the circle are (2, -3). The equation of the circle is in the form (x - h)² + (y - k)² = r², where (h, k) are the coordinates of the center and r is the radius. In this case, (h, k) = (2, -3).

(b) The radius of the circle is 3 units. The diameter is twice the radius, so the diameter of the circle is 6 units.

(c) To graph the circle, plot the center point (2, -3) and draw a circle with a radius of 3 units around it.

Answer 2

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6

Step-by-step explanation:

The equation of a circle is given by

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

where (h,k) is the center and r is the radius

(x - 2)² + (y+3)² = 9

(x - 2)² + (y- -3)² = 3^2

The center is (2 ,-3)

The radius is 3

The diameter is twice the radius = 2(3) = 6