00:01
Looking at this question, we want to take into consideration the formula for a circle, which is indicated right here.
00:09
We have x minus h squared plus y minus k squared equals r squared.
00:15
Given the center of the earthquake is 3 .7, that is going to be my h and k in my problem.
00:24
So i swap in 3 for h.
00:27
I swap in 7 for k.
00:30
And then it could be felt up to 12 miles away.
00:34
So we know that's the radius of my circle.
00:38
So 12 squared is 144.
00:43
So this is my equation for the circle that models the range of the effects of the earthquake.
00:51
To look at the second part of our problem, we're determining if somebody who lives at the coordinates 13 -1 would have felt the quake.
00:59
So we have the center, which is at 3 -7, and the person living is at 13 -1.
01:05
So we want to figure out how far apart these two points are...