Type the correct answer in each box.
a circle is centered at the point (-7, -1) and passes through the point (8, 7).
the radius of the circle is
units. the point (-15,
) lies on this circle.

Part 1) The radius is

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

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from the center to any point on the circumference is equal to the radius.

we have

Find the distance

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

substitute

step 2

The point (-15,y) lies on the circle

we know that

If a ordered pair lie on the circle, them the ordered pair must satisfy the equation of the circle

The equation of the circle is

The center is (-7,-1) an the radius is 17 units

substitute

substitute the x-coordinate of the point and solve for the y-coordinate

For x=-15

square root both sides

therefore

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

see the attached figure to better understand the problem