Precalculus Question

Question

Find the equation of a circle in standard form where C(-3,8) and D(7,6) are endpoints of a diameter.

Answer 1

The length of the line from the 2 points is sqrt{ (-3-7)² + (8-6)² } = 10.2

So, the radius of the circle is 10.2/2 = 5.1

The midpoint of the line joining the points is (2,7). So the equation of the circle is

(x-2)² + (y-7)² = (5.1)² = 26