Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.