Acircle 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 of the circle is

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

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

To find the radius of the circle calculate the distance between the center of the circle and the point (8,7)

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

we have

substitute

step 2

Find the equation of the circle

The equation of the circle in standard form is equal to

where

(h,k) is the center

r is the radius

substitute

step 3

Find the y-coordinate of the point (-15.y)

substitute the x-coordinate in the equation of the circle and solve for y

square root both sides

therefore

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

see the attached figure to better understand the problem

the answer is 375 miles

step-by-step explanation: