Chapter 2

Question 0

Distance Formula/Radius Formula

Answer 0

The square root of: (x-h)^2+(y-k)^2 = r

Question 1

The standard form of a circle is..

Answer 1

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

Question 2

When given two points that make a diameter, describe the process of finding the standard form of the equation of the circle that contains those two points.

Answer 2

Determine center and radius of circle.
Use midpoint formula to get the center. (X1+x2)/2, (y1+y2)/2 so that (h,k) is the average of the two x values, the average of the two y values.
Center: ( avg of x values, avg of y values)
Radius= square root of: (x-h)^2 + (y-k)^2
Standard form: (x-h)^2 + (y-k)^2 = r squared

Question 3

Midpoint Formula to get a center point from a circle given two points making a diameter.

Answer 3

(Avg of the two x values, avg of the two y values) = center of circle or midpoint of diameter