Pls

a circle is centered at point (-7,-1) and passes through the point (8,7).

the radius of the circle is units. the point (- lies on this circle.

Part 1) The radius of the circle is

Part 2) The points (15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

Part 1

we know that

The distance between the center of the circle at point (-7,-1) and the point (8,7) is equal to the radius of the circle

so

the formula to calculate the distance between two points is equal to

substitute the values

Part 2

we know that

If the point (-15,y) lies on the circle, then the ordered pair must be satisfy the equation of the circle

The equation of the circle is equal to

-----> equation of the circle in center radius form

substitute the value of x=-15 in the equation and solve for y

so

therefore

The points (15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem