If the center of a circle is at (3,-6) and the diameter is 10 units, what is the equation for the circle

Question

Mathematics

Joanna Wise

13 November, 16:23

If the center of a circle is at (3,-6) and the diameter is 10 units, what is the equation for the circle

+4

Answers (1)

Know the Answer?

Maddison Harmon · Answer 1

Answer: (x-3) ^2 + (y+6) ^2=25

Step-by-step explanation:

Center Of The circle is at (3,-6)

Diameter=10

Radius (r) = 10/2

Radius (r) = 5

a=3

b=-6

Equation of circle = (x-a) ^2 + (y-b) ^2=r^2

Equation of circle = (x-3) ^2 + (y - (-6)) ^2=5^2

Equation of circle = (x-3) ^2 + (y+6) ^2=25