Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

Step 3:-

center (h,k) = (-2,0) and

radius

The standard form of circle equation

on simplification is

step-by-step explanation:

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)