+359 Circles with centers of (2,2) and (17,17) are both tangent to the x-axis. What is the distance between the closest points of the two circles?
+410 The equation of the first circle with center (2,2) is:
(x−2)2+(y−2)2=4
The equation of the second circle with center (17, 17) is:
(x−17)2+(y−17)2=289
Here is a graph:
The closest distance between the two is the length of the line segment conncting the 2 centers of the cricles minus the two radii.
Therefore the closest distance is √(17−2)2+(17−2)2−17−2=15√2−17−2.
+410 The equation of the first circle with center (2,2) is:
(x−2)2+(y−2)2=4
The equation of the second circle with center (17, 17) is:
(x−17)2+(y−17)2=289
Here is a graph:
The closest distance between the two is the length of the line segment conncting the 2 centers of the cricles minus the two radii.
Therefore the closest distance is √(17−2)2+(17−2)2−17−2=15√2−17−2.
